Geometry, Student Edition
Geometry, Student Edition
1st Edition
ISBN: 9780078884849
Author: McGraw-Hill, McGraw Hill
Publisher: Glencoe/McGraw-Hill School Pub Co
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Concept explainers

Magnitude
A vector is an element with both direction and magnitude. A vector is represented using an arrow, where the arrow represents the direction of the vector and its length is represented using the magnitude. The set of vectors in space is known as vector spa…
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Chapter 8.7, Problem 45HP

(a)

To determine

To draw:

The sum of two vectors and tells the resultant direction of the vector sum

(a)

Expert Solution
Check Mark

Answer to Problem 45HP

The sum of two vectors is shown by the following figure. The resultant direction of the vector sum is either in same or opposite direction as it is sum of two parallel vectors:

  Geometry, Student Edition, Chapter 8.7, Problem 45HP , additional homework tip 1

Explanation of Solution

Given information:

Two vectors

Here, need to draw two vectors to get sum of them. Check the following vector diagram:

  Geometry, Student Edition, Chapter 8.7, Problem 45HP , additional homework tip 2

To get the resultant direction of the sum of vectors need to add these two vectors as:

  Geometry, Student Edition, Chapter 8.7, Problem 45HP , additional homework tip 3

Here, the sum of two vectors is parallel to both of the original vectors.

(b)

To determine

To draw:

The difference of two vectors and tells the resultant direction of the vector sum

(b)

Expert Solution
Check Mark

Answer to Problem 45HP

The difference of two vectors is shown by the following figure. The resultant direction of the vector difference is either in same or opposite direction as it is difference of two parallel vectors:

  Geometry, Student Edition, Chapter 8.7, Problem 45HP , additional homework tip 4

Explanation of Solution

Given information:

Two vectors

Here, need to draw two vectors to get difference of them. Check the following vector diagram:

  Geometry, Student Edition, Chapter 8.7, Problem 45HP , additional homework tip 5

To get the resultant direction of the difference of vectors need to subtract these two vectors as:

  Geometry, Student Edition, Chapter 8.7, Problem 45HP , additional homework tip 6

Here, the difference of two vectors is parallel to both of the original vectors. The resultant direction of the vector difference is either in same or opposite direction as it is difference of two parallel vectors:

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Chapter 8 Solutions

Geometry, Student Edition

Ch. 8.1 - Prob. 1ACYPCh. 8.1 - Prob. 1BCYPCh. 8.1 - Prob. 2ACYPCh. 8.1 - Prob. 2BCYPCh. 8.1 - Prob. 3ACYPCh. 8.1 - Prob. 3BCYPCh. 8.1 - Prob. 4CYPCh. 8.1 - Prob. 1CYUCh. 8.1 - Prob. 2CYUCh. 8.1 - Prob. 3CYU
Ch. 8.1 - Prob. 4CYUCh. 8.1 - Prob. 5CYUCh. 8.1 - Prob. 6CYUCh. 8.1 - Prob. 7CYUCh. 8.1 - Prob. 8PPSCh. 8.1 - Prob. 9PPSCh. 8.1 - Prob. 10PPSCh. 8.1 - Prob. 11PPSCh. 8.1 - Prob. 12PPSCh. 8.1 - Prob. 13PPSCh. 8.1 - Prob. 14PPSCh. 8.1 - Prob. 15PPSCh. 8.1 - Prob. 16PPSCh. 8.1 - Prob. 17PPSCh. 8.1 - Prob. 18PPSCh. 8.1 - Prob. 19PPSCh. 8.1 - Prob. 20PPSCh. 8.1 - Prob. 21PPSCh. 8.1 - Prob. 22PPSCh. 8.1 - Prob. 23PPSCh. 8.1 - Prob. 24PPSCh. 8.1 - Prob. 25PPSCh. 8.1 - Prob. 26PPSCh. 8.1 - Prob. 27PPSCh. 8.1 - Prob. 28PPSCh. 8.1 - Prob. 29PPSCh. 8.1 - Prob. 30PPSCh. 8.1 - Prob. 31PPSCh. 8.1 - Prob. 32PPSCh. 8.1 - Prob. 33PPSCh. 8.1 - Prob. 34PPSCh. 8.1 - Prob. 35PPSCh. 8.1 - Prob. 36PPSCh. 8.1 - Prob. 37PPSCh. 8.1 - Prob. 38PPSCh. 8.1 - Prob. 39PPSCh. 8.1 - Prob. 40PPSCh. 8.1 - Prob. 41PPSCh. 8.1 - Prob. 42PPSCh. 8.1 - Prob. 43PPSCh. 8.1 - Prob. 44PPSCh. 8.1 - Prob. 45PPSCh. 8.1 - Prob. 46PPSCh. 8.1 - Prob. 47PPSCh. 8.1 - Prob. 48PPSCh. 8.1 - Prob. 49HPCh. 8.1 - Prob. 50HPCh. 8.1 - Prob. 51HPCh. 8.1 - Prob. 52HPCh. 8.1 - Prob. 53HPCh. 8.1 - Prob. 54STPCh. 8.1 - Prob. 55STPCh. 8.1 - Prob. 56STPCh. 8.1 - Prob. 57STPCh. 8.1 - Prob. 58SPRCh. 8.1 - Prob. 59SPRCh. 8.1 - Prob. 60SPRCh. 8.1 - Prob. 61SPRCh. 8.1 - Prob. 62SPRCh. 8.1 - Prob. 63SPRCh. 8.1 - Prob. 64SPRCh. 8.1 - Prob. 65SPRCh. 8.1 - Prob. 66SPRCh. 8.1 - Prob. 67SPRCh. 8.1 - Prob. 68SPRCh. 8.1 - Prob. 69SPRCh. 8.1 - Prob. 70SRCh. 8.1 - Prob. 71SRCh. 8.1 - Prob. 72SRCh. 8.1 - Prob. 73SRCh. 8.1 - Prob. 74SRCh. 8.2 - Prob. 1ACYPCh. 8.2 - Prob. 1BCYPCh. 8.2 - Prob. 2ACYPCh. 8.2 - Prob. 2BCYPCh. 8.2 - Prob. 3CYPCh. 8.2 - Prob. 4ACYPCh. 8.2 - Prob. 4BCYPCh. 8.2 - Prob. 4CCYPCh. 8.2 - Prob. 1CYUCh. 8.2 - Prob. 2CYUCh. 8.2 - Prob. 3CYUCh. 8.2 - Prob. 4CYUCh. 8.2 - Prob. 5CYUCh. 8.2 - Prob. 6CYUCh. 8.2 - Prob. 7CYUCh. 8.2 - Prob. 8CYUCh. 8.2 - Prob. 9PPSCh. 8.2 - Prob. 10PPSCh. 8.2 - Prob. 11PPSCh. 8.2 - Prob. 12PPSCh. 8.2 - Prob. 13PPSCh. 8.2 - Prob. 14PPSCh. 8.2 - Prob. 15PPSCh. 8.2 - Prob. 16PPSCh. 8.2 - Prob. 17PPSCh. 8.2 - Prob. 18PPSCh. 8.2 - Prob. 19PPSCh. 8.2 - Prob. 20PPSCh. 8.2 - Prob. 21PPSCh. 8.2 - Prob. 22PPSCh. 8.2 - Prob. 23PPSCh. 8.2 - Prob. 24PPSCh. 8.2 - Prob. 25PPSCh. 8.2 - Prob. 26PPSCh. 8.2 - Prob. 27PPSCh. 8.2 - Prob. 28PPSCh. 8.2 - Prob. 29PPSCh. 8.2 - Prob. 30PPSCh. 8.2 - Prob. 31PPSCh. 8.2 - Prob. 32PPSCh. 8.2 - Prob. 33PPSCh. 8.2 - Prob. 34PPSCh. 8.2 - Prob. 35PPSCh. 8.2 - Prob. 36PPSCh. 8.2 - Prob. 37PPSCh. 8.2 - Prob. 38PPSCh. 8.2 - Prob. 39PPSCh. 8.2 - Prob. 40PPSCh. 8.2 - Prob. 41PPSCh. 8.2 - Prob. 42PPSCh. 8.2 - Prob. 43PPSCh. 8.2 - Prob. 44PPSCh. 8.2 - Prob. 45PPSCh. 8.2 - Prob. 46PPSCh. 8.2 - Prob. 47PPSCh. 8.2 - Prob. 48PPSCh. 8.2 - Prob. 49HPCh. 8.2 - Prob. 50HPCh. 8.2 - Prob. 51HPCh. 8.2 - Prob. 52HPCh. 8.2 - Prob. 53STPCh. 8.2 - Prob. 54STPCh. 8.2 - Prob. 55STPCh. 8.2 - Prob. 56STPCh. 8.2 - Prob. 57SPRCh. 8.2 - Prob. 58SPRCh. 8.2 - Prob. 59SPRCh. 8.2 - Prob. 60SPRCh. 8.2 - Prob. 61SPRCh. 8.2 - Prob. 62SPRCh. 8.2 - Prob. 63SPRCh. 8.2 - Prob. 64SPRCh. 8.2 - Prob. 65SPRCh. 8.2 - Prob. 66SPRCh. 8.2 - Prob. 67SPRCh. 8.2 - Prob. 68SPRCh. 8.2 - Prob. 69SPRCh. 8.2 - Prob. 70SPRCh. 8.2 - Prob. 71SPRCh. 8.2 - Prob. 72SPRCh. 8.2 - Prob. 73SRCh. 8.2 - Prob. 74SRCh. 8.2 - Prob. 75SRCh. 8.2 - Prob. 76SRCh. 8.3 - Prob. 1ACYPCh. 8.3 - Prob. 1BCYPCh. 8.3 - Prob. 1CCYPCh. 8.3 - Prob. 2ACYPCh. 8.3 - Prob. 2BCYPCh. 8.3 - Prob. 3ACYPCh. 8.3 - Prob. 3BCYPCh. 8.3 - Prob. 3CCYPCh. 8.3 - Prob. 4CYPCh. 8.3 - Prob. 1CYUCh. 8.3 - Prob. 2CYUCh. 8.3 - Prob. 3CYUCh. 8.3 - Prob. 4CYUCh. 8.3 - Prob. 5CYUCh. 8.3 - Prob. 6CYUCh. 8.3 - Prob. 7CYUCh. 8.3 - Prob. 8PPSCh. 8.3 - Prob. 9PPSCh. 8.3 - Prob. 10PPSCh. 8.3 - Prob. 11PPSCh. 8.3 - Prob. 12PPSCh. 8.3 - Prob. 13PPSCh. 8.3 - Prob. 14PPSCh. 8.3 - Prob. 15PPSCh. 8.3 - Prob. 16PPSCh. 8.3 - Prob. 17PPSCh. 8.3 - Prob. 18PPSCh. 8.3 - Prob. 19PPSCh. 8.3 - Prob. 20PPSCh. 8.3 - Prob. 21PPSCh. 8.3 - Prob. 22PPSCh. 8.3 - Prob. 23PPSCh. 8.3 - Prob. 24PPSCh. 8.3 - Prob. 25PPSCh. 8.3 - Prob. 26PPSCh. 8.3 - Prob. 27PPSCh. 8.3 - Prob. 28PPSCh. 8.3 - Prob. 29PPSCh. 8.3 - Prob. 30PPSCh. 8.3 - Prob. 31PPSCh. 8.3 - Prob. 32PPSCh. 8.3 - Prob. 33PPSCh. 8.3 - Prob. 34PPSCh. 8.3 - Prob. 35PPSCh. 8.3 - Prob. 36PPSCh. 8.3 - Prob. 37PPSCh. 8.3 - Prob. 38PPSCh. 8.3 - Prob. 39PPSCh. 8.3 - Prob. 40PPSCh. 8.3 - Prob. 41PPSCh. 8.3 - Prob. 42PPSCh. 8.3 - Prob. 43PPSCh. 8.3 - Prob. 44PPSCh. 8.3 - Prob. 45PPSCh. 8.3 - Prob. 46HPCh. 8.3 - Prob. 47HPCh. 8.3 - Prob. 48HPCh. 8.3 - Prob. 49HPCh. 8.3 - Prob. 50HPCh. 8.3 - Prob. 51STPCh. 8.3 - Prob. 52STPCh. 8.3 - Prob. 53STPCh. 8.3 - Prob. 54STPCh. 8.3 - Prob. 55SPRCh. 8.3 - Prob. 56SPRCh. 8.3 - Prob. 57SPRCh. 8.3 - Prob. 58SPRCh. 8.3 - Prob. 59SPRCh. 8.3 - Prob. 60SPRCh. 8.3 - Prob. 61SPRCh. 8.3 - Prob. 62SPRCh. 8.3 - Prob. 63SPRCh. 8.3 - Prob. 64SPRCh. 8.3 - Prob. 65SPRCh. 8.3 - Prob. 66SRCh. 8.3 - Prob. 67SRCh. 8.3 - Prob. 68SRCh. 8.4 - Prob. 1CYPCh. 8.4 - Prob. 2CYPCh. 8.4 - Prob. 3ACYPCh. 8.4 - Prob. 3BCYPCh. 8.4 - Prob. 3CCYPCh. 8.4 - Prob. 4ACYPCh. 8.4 - Prob. 4BCYPCh. 8.4 - Prob. 5ACYPCh. 8.4 - Prob. 5BCYPCh. 8.4 - Prob. 5CCYPCh. 8.4 - Prob. 1CYUCh. 8.4 - Prob. 2CYUCh. 8.4 - Prob. 3CYUCh. 8.4 - Prob. 4CYUCh. 8.4 - Prob. 5CYUCh. 8.4 - Prob. 6CYUCh. 8.4 - Prob. 7CYUCh. 8.4 - Prob. 8CYUCh. 8.4 - Prob. 9CYUCh. 8.4 - Prob. 10CYUCh. 8.4 - Prob. 11CYUCh. 8.4 - Prob. 12CYUCh. 8.4 - Prob. 13CYUCh. 8.4 - Prob. 14CYUCh. 8.4 - Prob. 15CYUCh. 8.4 - Prob. 16PPSCh. 8.4 - Prob. 17PPSCh. 8.4 - Prob. 18PPSCh. 8.4 - Prob. 19PPSCh. 8.4 - Prob. 20PPSCh. 8.4 - Prob. 21PPSCh. 8.4 - Prob. 22PPSCh. 8.4 - Prob. 23PPSCh. 8.4 - Prob. 24PPSCh. 8.4 - Prob. 25PPSCh. 8.4 - Prob. 26PPSCh. 8.4 - Prob. 27PPSCh. 8.4 - Prob. 28PPSCh. 8.4 - Prob. 29PPSCh. 8.4 - Prob. 30PPSCh. 8.4 - Prob. 31PPSCh. 8.4 - Prob. 32PPSCh. 8.4 - Prob. 33PPSCh. 8.4 - Prob. 34PPSCh. 8.4 - Prob. 35PPSCh. 8.4 - Prob. 36PPSCh. 8.4 - Prob. 37PPSCh. 8.4 - Prob. 38PPSCh. 8.4 - Prob. 39PPSCh. 8.4 - Prob. 40PPSCh. 8.4 - Prob. 41PPSCh. 8.4 - Prob. 42PPSCh. 8.4 - Prob. 43PPSCh. 8.4 - Prob. 44PPSCh. 8.4 - Prob. 45PPSCh. 8.4 - Prob. 46PPSCh. 8.4 - Prob. 47PPSCh. 8.4 - Prob. 48PPSCh. 8.4 - Prob. 49PPSCh. 8.4 - Prob. 50PPSCh. 8.4 - Prob. 51PPSCh. 8.4 - Prob. 52PPSCh. 8.4 - Prob. 53PPSCh. 8.4 - Prob. 54PPSCh. 8.4 - Prob. 55PPSCh. 8.4 - Prob. 56PPSCh. 8.4 - Prob. 57PPSCh. 8.4 - Prob. 58PPSCh. 8.4 - Prob. 59PPSCh. 8.4 - Prob. 60PPSCh. 8.4 - Prob. 61PPSCh. 8.4 - Prob. 62HPCh. 8.4 - Prob. 63HPCh. 8.4 - Prob. 64HPCh. 8.4 - Prob. 65HPCh. 8.4 - Prob. 66STPCh. 8.4 - Prob. 67STPCh. 8.4 - Prob. 68STPCh. 8.4 - Prob. 69STPCh. 8.4 - Prob. 70SPRCh. 8.4 - Prob. 71SPRCh. 8.4 - Prob. 72SPRCh. 8.4 - Prob. 73SPRCh. 8.4 - Prob. 74SPRCh. 8.4 - Prob. 75SPRCh. 8.4 - Prob. 76SPRCh. 8.4 - Prob. 77SPRCh. 8.4 - Prob. 78SPRCh. 8.4 - Prob. 79SPRCh. 8.4 - Prob. 80SPRCh. 8.4 - Prob. 81SPRCh. 8.4 - Prob. 82SRCh. 8.4 - Prob. 83SRCh. 8.4 - Prob. 84SRCh. 8.4 - Prob. 85SRCh. 8.4 - Prob. 86SRCh. 8.4 - Prob. 87SRCh. 8.5 - Prob. 1CYPCh. 8.5 - Prob. 2CYPCh. 8.5 - Prob. 3CYPCh. 8.5 - Prob. 1CYUCh. 8.5 - Prob. 2CYUCh. 8.5 - Prob. 3CYUCh. 8.5 - Prob. 4PPSCh. 8.5 - Prob. 5PPSCh. 8.5 - Prob. 6PPSCh. 8.5 - Prob. 7PPSCh. 8.5 - Prob. 8PPSCh. 8.5 - Prob. 9PPSCh. 8.5 - Prob. 10PPSCh. 8.5 - Prob. 11PPSCh. 8.5 - Prob. 12PPSCh. 8.5 - Prob. 13PPSCh. 8.5 - Prob. 14PPSCh. 8.5 - Prob. 15PPSCh. 8.5 - Prob. 16PPSCh. 8.5 - Prob. 17PPSCh. 8.5 - Prob. 18PPSCh. 8.5 - Prob. 19PPSCh. 8.5 - Prob. 20PPSCh. 8.5 - Prob. 21PPSCh. 8.5 - Prob. 22PPSCh. 8.5 - Prob. 23HPCh. 8.5 - Prob. 24HPCh. 8.5 - Prob. 25HPCh. 8.5 - Prob. 26HPCh. 8.5 - Prob. 27HPCh. 8.5 - Prob. 28STPCh. 8.5 - Prob. 29STPCh. 8.5 - Prob. 30STPCh. 8.5 - Prob. 31STPCh. 8.5 - Prob. 32SPRCh. 8.5 - Prob. 33SPRCh. 8.5 - Prob. 34SPRCh. 8.5 - Prob. 35SPRCh. 8.5 - Prob. 36SPRCh. 8.5 - Prob. 37SPRCh. 8.5 - Prob. 38SPRCh. 8.5 - Prob. 39SPRCh. 8.5 - Prob. 40SPRCh. 8.5 - Prob. 41SPRCh. 8.5 - Prob. 42SPRCh. 8.5 - Prob. 43SPRCh. 8.5 - Prob. 44SPRCh. 8.5 - Prob. 45SRCh. 8.5 - Prob. 46SRCh. 8.5 - Prob. 47SRCh. 8.5 - Prob. 48SRCh. 8.6 - Prob. 1ACYPCh. 8.6 - Prob. 1BCYPCh. 8.6 - Prob. 2ACYPCh. 8.6 - Prob. 2BCYPCh. 8.6 - Prob. 3ACYPCh. 8.6 - Prob. 3BCYPCh. 8.6 - Prob. 4ACYPCh. 8.6 - Prob. 4BCYPCh. 8.6 - Prob. 5CYPCh. 8.6 - Prob. 6ACYPCh. 8.6 - Prob. 6BCYPCh. 8.6 - Prob. 1CYUCh. 8.6 - Prob. 2CYUCh. 8.6 - Prob. 3CYUCh. 8.6 - Prob. 4CYUCh. 8.6 - Prob. 5CYUCh. 8.6 - Prob. 6CYUCh. 8.6 - Prob. 7CYUCh. 8.6 - Prob. 8CYUCh. 8.6 - Prob. 9CYUCh. 8.6 - Prob. 10CYUCh. 8.6 - Prob. 11CYUCh. 8.6 - Prob. 12PPSCh. 8.6 - Prob. 13PPSCh. 8.6 - Prob. 14PPSCh. 8.6 - Prob. 15PPSCh. 8.6 - Prob. 16PPSCh. 8.6 - Prob. 17PPSCh. 8.6 - Prob. 18PPSCh. 8.6 - Prob. 19PPSCh. 8.6 - Prob. 20PPSCh. 8.6 - Prob. 21PPSCh. 8.6 - Prob. 22PPSCh. 8.6 - Prob. 23PPSCh. 8.6 - Prob. 24PPSCh. 8.6 - Prob. 25PPSCh. 8.6 - Prob. 26PPSCh. 8.6 - Prob. 27PPSCh. 8.6 - Prob. 28PPSCh. 8.6 - Prob. 29PPSCh. 8.6 - Prob. 30PPSCh. 8.6 - Prob. 31PPSCh. 8.6 - Prob. 32PPSCh. 8.6 - Prob. 33PPSCh. 8.6 - Prob. 34PPSCh. 8.6 - Prob. 35PPSCh. 8.6 - Prob. 36PPSCh. 8.6 - Prob. 37PPSCh. 8.6 - Prob. 38PPSCh. 8.6 - Prob. 39PPSCh. 8.6 - Prob. 40PPSCh. 8.6 - Prob. 41PPSCh. 8.6 - Prob. 42PPSCh. 8.6 - Prob. 43PPSCh. 8.6 - Prob. 44PPSCh. 8.6 - Prob. 45PPSCh. 8.6 - Prob. 46PPSCh. 8.6 - Prob. 47PPSCh. 8.6 - Prob. 48PPSCh. 8.6 - Prob. 49PPSCh. 8.6 - Prob. 50PPSCh. 8.6 - Prob. 51PPSCh. 8.6 - Prob. 52PPSCh. 8.6 - Prob. 53PPSCh. 8.6 - Prob. 54HPCh. 8.6 - Prob. 55HPCh. 8.6 - Prob. 56HPCh. 8.6 - Prob. 57HPCh. 8.6 - Prob. 58HPCh. 8.6 - Prob. 59STPCh. 8.6 - Prob. 60STPCh. 8.6 - Prob. 61STPCh. 8.6 - Prob. 62STPCh. 8.6 - Prob. 63SPRCh. 8.6 - Prob. 64SPRCh. 8.6 - Prob. 65SPRCh. 8.6 - Prob. 66SPRCh. 8.6 - Prob. 67SPRCh. 8.6 - Prob. 68SPRCh. 8.6 - Prob. 69SPRCh. 8.6 - Prob. 70SPRCh. 8.6 - Prob. 71SRCh. 8.6 - Prob. 72SRCh. 8.6 - Prob. 73SRCh. 8.7 - Prob. 1CYPCh. 8.7 - Prob. 2CYPCh. 8.7 - Prob. 3ACYPCh. 8.7 - Prob. 3BCYPCh. 8.7 - Prob. 4CYPCh. 8.7 - Prob. 1CYUCh. 8.7 - Prob. 2CYUCh. 8.7 - Prob. 3CYUCh. 8.7 - Prob. 4CYUCh. 8.7 - Prob. 5CYUCh. 8.7 - Prob. 6CYUCh. 8.7 - Prob. 7CYUCh. 8.7 - Prob. 8PPSCh. 8.7 - Prob. 9PPSCh. 8.7 - Prob. 10PPSCh. 8.7 - Prob. 11PPSCh. 8.7 - Prob. 12PPSCh. 8.7 - Prob. 13PPSCh. 8.7 - Prob. 14PPSCh. 8.7 - Prob. 15PPSCh. 8.7 - Prob. 16PPSCh. 8.7 - Prob. 17PPSCh. 8.7 - Prob. 18PPSCh. 8.7 - Prob. 19PPSCh. 8.7 - Prob. 20PPSCh. 8.7 - Prob. 21PPSCh. 8.7 - Prob. 22PPSCh. 8.7 - Prob. 23PPSCh. 8.7 - Prob. 24PPSCh. 8.7 - Prob. 25PPSCh. 8.7 - Prob. 26PPSCh. 8.7 - Prob. 27PPSCh. 8.7 - Prob. 28PPSCh. 8.7 - Prob. 29PPSCh. 8.7 - Prob. 30PPSCh. 8.7 - Prob. 31PPSCh. 8.7 - Prob. 32PPSCh. 8.7 - Prob. 33PPSCh. 8.7 - Prob. 34PPSCh. 8.7 - Prob. 35PPSCh. 8.7 - Prob. 36PPSCh. 8.7 - Prob. 37PPSCh. 8.7 - Prob. 38PPSCh. 8.7 - Prob. 39PPSCh. 8.7 - Prob. 40PPSCh. 8.7 - Prob. 41PPSCh. 8.7 - Prob. 42HPCh. 8.7 - Prob. 43HPCh. 8.7 - Prob. 44HPCh. 8.7 - Prob. 45HPCh. 8.7 - Prob. 46HPCh. 8.7 - Prob. 47STPCh. 8.7 - Prob. 48STPCh. 8.7 - Prob. 49STPCh. 8.7 - Prob. 50STPCh. 8.7 - Prob. 51SPRCh. 8.7 - Prob. 52SPRCh. 8.7 - Prob. 53SPRCh. 8.7 - Prob. 54SPRCh. 8.7 - Prob. 55SPRCh. 8.7 - Prob. 56SPRCh. 8.7 - Prob. 57SPRCh. 8.7 - Prob. 58SPRCh. 8.7 - Prob. 59SPRCh. 8.7 - Prob. 60SPRCh. 8.7 - Prob. 61SRCh. 8.7 - Prob. 62SRCh. 8.7 - Prob. 63SRCh. 8 - Prob. 1GRFCCh. 8 - Prob. 2GRFCCh. 8 - Prob. 3GRFCCh. 8 - Prob. 4GRFCCh. 8 - Prob. 5GRFCCh. 8 - Prob. 6GRFCCh. 8 - Prob. 7GRFCCh. 8 - Prob. 8GRFCCh. 8 - Prob. 9GRFCCh. 8 - Prob. 10GRFCCh. 8 - Prob. 11GRFCCh. 8 - Prob. 12GRFCCh. 8 - Prob. 1MCQCh. 8 - Prob. 2MCQCh. 8 - Prob. 3MCQCh. 8 - Prob. 4MCQCh. 8 - Prob. 5MCQCh. 8 - Prob. 6MCQCh. 8 - Prob. 7MCQCh. 8 - Prob. 8MCQCh. 8 - Prob. 9MCQCh. 8 - Prob. 10MCQCh. 8 - Prob. 11MCQCh. 8 - Prob. 12MCQCh. 8 - Prob. 13MCQCh. 8 - Prob. 14MCQCh. 8 - Prob. 15MCQCh. 8 - Prob. 16MCQCh. 8 - Prob. 17MCQCh. 8 - Prob. 18MCQCh. 8 - Prob. 19MCQCh. 8 - Prob. 20MCQCh. 8 - Prob. 21MCQCh. 8 - Prob. 1SGRCh. 8 - Prob. 2SGRCh. 8 - Prob. 3SGRCh. 8 - Prob. 4SGRCh. 8 - Prob. 5SGRCh. 8 - Prob. 6SGRCh. 8 - Prob. 7SGRCh. 8 - Prob. 8SGRCh. 8 - Prob. 9SGRCh. 8 - Prob. 10SGRCh. 8 - Prob. 11SGRCh. 8 - Prob. 12SGRCh. 8 - Prob. 13SGRCh. 8 - Prob. 14SGRCh. 8 - Prob. 15SGRCh. 8 - Prob. 16SGRCh. 8 - Prob. 17SGRCh. 8 - Prob. 18SGRCh. 8 - Prob. 19SGRCh. 8 - Prob. 20SGRCh. 8 - Prob. 21SGRCh. 8 - Prob. 22SGRCh. 8 - Prob. 23SGRCh. 8 - Prob. 24SGRCh. 8 - Prob. 25SGRCh. 8 - Prob. 26SGRCh. 8 - Prob. 27SGRCh. 8 - Prob. 28SGRCh. 8 - Prob. 29SGRCh. 8 - Prob. 30SGRCh. 8 - Prob. 31SGRCh. 8 - Prob. 32SGRCh. 8 - Prob. 33SGRCh. 8 - Prob. 34SGRCh. 8 - Prob. 35SGRCh. 8 - Prob. 36SGRCh. 8 - Prob. 37SGRCh. 8 - Prob. 38SGRCh. 8 - Prob. 39SGRCh. 8 - Prob. 40SGRCh. 8 - Prob. 41SGRCh. 8 - Prob. 1PTCh. 8 - Prob. 2PTCh. 8 - Prob. 3PTCh. 8 - Prob. 4PTCh. 8 - Prob. 5PTCh. 8 - Prob. 6PTCh. 8 - Prob. 7PTCh. 8 - Prob. 8PTCh. 8 - Prob. 9PTCh. 8 - Prob. 10PTCh. 8 - Prob. 11PTCh. 8 - Prob. 12PTCh. 8 - Prob. 13PTCh. 8 - Prob. 14PTCh. 8 - Prob. 15PTCh. 8 - Prob. 16PTCh. 8 - Prob. 17PTCh. 8 - Prob. 18PTCh. 8 - Prob. 19PTCh. 8 - Prob. 20PTCh. 8 - Prob. 21PTCh. 8 - Prob. 22PTCh. 8 - Prob. 23PTCh. 8 - Prob. 24PTCh. 8 - Prob. 25PTCh. 8 - Prob. 1STPCh. 8 - Prob. 2STPCh. 8 - Prob. 3STPCh. 8 - Prob. 4STPCh. 8 - Prob. 5STPCh. 8 - Prob. 6STPCh. 8 - Prob. 7STPCh. 8 - Prob. 8STPCh. 8 - Prob. 9STPCh. 8 - Prob. 10STPCh. 8 - Prob. 11STPCh. 8 - Prob. 12STPCh. 8 - Prob. 13STPCh. 8 - Prob. 14STPCh. 8 - Prob. 15STP

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