College Mathematics for Trades and Technologies (10th Edition) (What's New in Trade Math)
College Mathematics for Trades and Technologies (10th Edition) (What's New in Trade Math)
10th Edition
ISBN: 9780134690339
Author: Cheryl Cleaves, Margie Hobbs
Publisher: PEARSON
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Chapter 20, Problem 1RE
To determine

The magnitude and direction of the vector in standard position with its end points at (4,6).

Expert Solution & Answer
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Answer to Problem 1RE

The magnitude and direction of the vector in standard position with end points at (4,6) is 7.211 and 56.3°_ respectively.

Explanation of Solution

Result used:

“The magnitude in standard position for a vector v with end points at (x,y) is, v2=x2+y2.”

“The direction of the vector in standard position with given end points is calculated by substituting the coordinates of the end points (x,y) into tangent function, tanθ=yx or θ=tan1(yx).”

Calculation:

Given that, the coordinates of the vector is (4,6).

Substitute x=4 and y=6 in the formula v2=x2+y2 and obtain the magnitude of the vector as follows.

v2=42+62=16+36=52v=±52=±7.211

As the magnitude is positive, so the magnitude of the vector is 7.211.

Therefore, the magnitude of the vector in standard position with end points at (4,6) is 7.211_.

Substitute x=4 and y=6 in tanθ=yx and solve for θ to obtain the direction of the vector as follows.

tanθ=64θ=tan1(64)θ=tan1(32)θ=56.3°

Thus, the direction of the vector in standard position with end points at (4,6) is 56.3°_.

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Chapter 20 Solutions

College Mathematics for Trades and Technologies (10th Edition) (What's New in Trade Math)

Ch. 20.1 - Prob. 10ECh. 20.1 - Prob. 11ECh. 20.1 - Prob. 12ECh. 20.1 - Prob. 13ECh. 20.1 - Prob. 14ECh. 20.1 - Prob. 15ECh. 20.1 - Prob. 16ECh. 20.1 - Prob. 17ECh. 20.1 - Prob. 18ECh. 20.1 - Prob. 19ECh. 20.1 - Prob. 20ECh. 20.1 - Prob. 21ECh. 20.1 - Prob. 22ECh. 20.1 - Prob. 23ECh. 20.1 - Prob. 24ECh. 20.1 - Prob. 25ECh. 20.1 - Prob. 26ECh. 20.1 - Prob. 27ECh. 20.1 - Prob. 28ECh. 20.1 - Prob. 29ECh. 20.1 - Prob. 30ECh. 20.1 - Prob. 31ECh. 20.1 - Prob. 32ECh. 20.2 - Prob. 1LCCh. 20.2 - Prob. 2LCCh. 20.2 - Prob. 1ECh. 20.2 - Prob. 2ECh. 20.2 - Prob. 3ECh. 20.2 - Prob. 4ECh. 20.2 - Prob. 5ECh. 20.2 - Prob. 6ECh. 20.2 - Prob. 7ECh. 20.2 - Prob. 8ECh. 20.2 - Prob. 9ECh. 20.2 - Prob. 10ECh. 20.2 - Prob. 11ECh. 20.2 - Prob. 12ECh. 20.2 - Prob. 13ECh. 20.2 - Prob. 14ECh. 20.2 - Prob. 15ECh. 20.2 - Prob. 16ECh. 20.2 - Prob. 17ECh. 20.2 - Prob. 18ECh. 20.2 - Prob. 19ECh. 20.2 - Prob. 20ECh. 20.2 - Prob. 21ECh. 20.2 - Prob. 22ECh. 20.2 - Prob. 23ECh. 20.2 - Prob. 24ECh. 20.2 - Prob. 25ECh. 20.3 - Prob. 1LCCh. 20.3 - Prob. 2LCCh. 20.3 - Evaluate. Ch. 20.3 - Prob. 4LCCh. 20.3 - Prob. 1ECh. 20.3 - Prob. 2ECh. 20.3 - Prob. 3ECh. 20.3 - Prob. 4ECh. 20.3 - Prob. 5ECh. 20.3 - Prob. 6ECh. 20.3 - Prob. 7ECh. 20.3 - Prob. 8ECh. 20.3 - Prob. 9ECh. 20.3 - Prob. 10ECh. 20.3 - Prob. 11ECh. 20.3 - Prob. 12ECh. 20.3 - Prob. 13ECh. 20.3 - Prob. 14ECh. 20.3 - Prob. 15ECh. 20.3 - Prob. 16ECh. 20.3 - Prob. 17ECh. 20.3 - Prob. 18ECh. 20.3 - Prob. 19ECh. 20.3 - Prob. 20ECh. 20.3 - Prob. 21ECh. 20.3 - Prob. 22ECh. 20.3 - Prob. 23ECh. 20.3 - Prob. 24ECh. 20.3 - Prob. 25ECh. 20.3 - Prob. 26ECh. 20.3 - Prob. 27ECh. 20.3 - Prob. 28ECh. 20.3 - Prob. 29ECh. 20.3 - Prob. 30ECh. 20.3 - Prob. 31ECh. 20.3 - Prob. 32ECh. 20.3 - Prob. 33ECh. 20.3 - Prob. 34ECh. 20.3 - Prob. 35ECh. 20.3 - Prob. 36ECh. 20.3 - Prob. 37ECh. 20.3 - Prob. 38ECh. 20.3 - Prob. 39ECh. 20.3 - Prob. 40ECh. 20.3 - Prob. 41ECh. 20.3 - Prob. 42ECh. 20.3 - Prob. 43ECh. 20.3 - Prob. 44ECh. 20.3 - Prob. 45ECh. 20.3 - Prob. 46ECh. 20.3 - Prob. 47ECh. 20.4 - Evaluate to four significant digits. Ch. 20.4 - Prob. 1ECh. 20.4 - Prob. 2ECh. 20.4 - Prob. 3ECh. 20.4 - Prob. 4ECh. 20.4 - Prob. 5ECh. 20.4 - Prob. 6ECh. 20.4 - Prob. 7ECh. 20.4 - Prob. 8ECh. 20.4 - Prob. 9ECh. 20.4 - Prob. 10ECh. 20.4 - Prob. 11ECh. 20.4 - Prob. 12ECh. 20.4 - Prob. 13ECh. 20.4 - Prob. 14ECh. 20.4 - Prob. 15ECh. 20.4 - Prob. 16ECh. 20.4 - Prob. 17ECh. 20.4 - Prob. 18ECh. 20.4 - Prob. 19ECh. 20.4 - Prob. 20ECh. 20.4 - Prob. 21ECh. 20.4 - Prob. 22ECh. 20.5 - Prob. 1LCCh. 20.5 - Prob. 1ECh. 20.5 - Prob. 2ECh. 20.5 - Prob. 3ECh. 20.5 - Prob. 4ECh. 20.5 - Prob. 5ECh. 20.5 - Find the three angles of each triangle. Round...Ch. 20.5 - Prob. 7ECh. 20.5 - Prob. 8ECh. 20.5 - Prob. 9ECh. 20.5 - Prob. 10ECh. 20.5 - CON A hill is inclined 20° to the horizontal. A...Ch. 20.5 - Prob. 12ECh. 20 - Prob. 1RECh. 20 - Prob. 2RECh. 20 - Prob. 3RECh. 20 - Prob. 4RECh. 20 - Prob. 5RECh. 20 - Prob. 6RECh. 20 - Prob. 7RECh. 20 - Prob. 8RECh. 20 - Prob. 9RECh. 20 - Prob. 10RECh. 20 - Prob. 11RECh. 20 - Prob. 12RECh. 20 - Prob. 13RECh. 20 - Prob. 14RECh. 20 - Prob. 15RECh. 20 - Prob. 16RECh. 20 - Prob. 17RECh. 20 - Prob. 18RECh. 20 - Prob. 19RECh. 20 - Prob. 20RECh. 20 - Prob. 21RECh. 20 - Prob. 22RECh. 20 - Prob. 23RECh. 20 - Prob. 24RECh. 20 - Prob. 25RECh. 20 - Prob. 26RECh. 20 - Prob. 27RECh. 20 - Prob. 28RECh. 20 - Prob. 29RECh. 20 - Prob. 30RECh. 20 - Prob. 31RECh. 20 - Prob. 32RECh. 20 - Prob. 33RECh. 20 - Prob. 34RECh. 20 - Prob. 35RECh. 20 - Prob. 36RECh. 20 - Prob. 37RECh. 20 - Prob. 38RECh. 20 - Prob. 39RECh. 20 - Prob. 40RECh. 20 - Solve the triangles. If a triangle has two...Ch. 20 - Prob. 42RECh. 20 - Prob. 43RECh. 20 - Prob. 44RECh. 20 - Prob. 45RECh. 20 - Prob. 46RECh. 20 - Prob. 47RECh. 20 - Prob. 48RECh. 20 - Solve the exercises. Round sides to four...Ch. 20 - Prob. 50RECh. 20 - Prob. 51RECh. 20 - Prob. 1CACh. 20 - Prob. 2CACh. 20 - Prob. 3CACh. 20 - Prob. 4CACh. 20 - Prob. 5CACh. 20 - Prob. 6CACh. 20 - Prob. 7CACh. 20 - Prob. 8CACh. 20 - Prob. 9CACh. 20 - Prob. 10CACh. 20 - Prob. 11CACh. 20 - Prob. 12CACh. 20 - Prob. 13CACh. 20 - Prob. 14CACh. 20 - Prob. 15CACh. 20 - Prob. 16CACh. 20 - Prob. 1PTCh. 20 - Prob. 2PTCh. 20 - Prob. 3PTCh. 20 - Prob. 4PTCh. 20 - Prob. 5PTCh. 20 - Prob. 6PTCh. 20 - Prob. 7PTCh. 20 - Prob. 8PTCh. 20 - Prob. 9PTCh. 20 - Prob. 10PTCh. 20 - Prob. 11PTCh. 20 - Prob. 12PTCh. 20 - Prob. 13PTCh. 20 - Prob. 14PTCh. 20 - Prob. 15PTCh. 20 - Prob. 16PTCh. 20 - Prob. 17PTCh. 20 - Prob. 18PTCh. 20 - Prob. 19PTCh. 20 - Prob. 20PTCh. 20 - Prob. 21PTCh. 20 - A rod 11 cm long joins a crank 20 cm long to form...Ch. 20 - Prob. 23PTCh. 20 - Prob. 24PTCh. 20 - Prob. 1CPTCh. 20 - Prob. 2CPTCh. 20 - Prob. 3CPTCh. 20 - Prob. 4CPTCh. 20 - Prob. 5CPTCh. 20 - Prob. 6CPTCh. 20 - Prob. 7CPTCh. 20 - Prob. 8CPTCh. 20 - Prob. 9CPTCh. 20 - Prob. 10CPTCh. 20 - Prob. 11CPTCh. 20 - Prob. 12CPTCh. 20 - Prob. 13CPTCh. 20 - Find the resultant vector of the vectors that have...Ch. 20 - Prob. 15CPTCh. 20 - Prob. 16CPTCh. 20 - Prob. 17CPTCh. 20 - Prob. 18CPTCh. 20 - Prob. 19CPTCh. 20 - Prob. 20CPT
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