3 d) Express the longer of the two vectors as a scalar multiple of the shorter. Create a unit

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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I need question 2 part d) answered. Please include as much detail as possible. 

 

a
b
1. Determine |a|and |d |. Assume that each space on the grid measures 1 unit. Leave your
solution as a simplified exact value. Show your work.
A
C
2 unit
nit
lunit
a = ± a
--=
ma
6
Aunit B
→ Sunits!
lat √√4²+1
1d1 = √8² +2
1 a²1 = √17
1d1= √68
2. a) Which two vectors appear to have opposite directions? b
2
d
2
121= √√17
12²1 = √68
b) How do you know that they are actually running in opposite directions?
In vector b, the tail is facing South and the
While
tip is facing N.
Therefore making these vectors
in vector c, the tail is facing North and tail is facing South.
opposite.
c) Are they opposite vectors? Why or why not?
No. For two vectors to be considerd opposite, they must
be facing opposite directions but have the same magnitude.
d) Express the longer of the two vectors as a scalar multiple of the shorter.
and
3. Create a unit vector for any of the vectors shown. Explain how you know it is a unit vector.
A unit vector is the reciprocal of the regular vector.
So if a = Aunits, the unit
vector
OF A would be:
Transcribed Image Text:a b 1. Determine |a|and |d |. Assume that each space on the grid measures 1 unit. Leave your solution as a simplified exact value. Show your work. A C 2 unit nit lunit a = ± a --= ma 6 Aunit B → Sunits! lat √√4²+1 1d1 = √8² +2 1 a²1 = √17 1d1= √68 2. a) Which two vectors appear to have opposite directions? b 2 d 2 121= √√17 12²1 = √68 b) How do you know that they are actually running in opposite directions? In vector b, the tail is facing South and the While tip is facing N. Therefore making these vectors in vector c, the tail is facing North and tail is facing South. opposite. c) Are they opposite vectors? Why or why not? No. For two vectors to be considerd opposite, they must be facing opposite directions but have the same magnitude. d) Express the longer of the two vectors as a scalar multiple of the shorter. and 3. Create a unit vector for any of the vectors shown. Explain how you know it is a unit vector. A unit vector is the reciprocal of the regular vector. So if a = Aunits, the unit vector OF A would be:
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