(a)
The angle between the
(a)
Answer to Problem 5T
The angle between the vectors
Explanation of Solution
Given:
The two vectors are given below,
Formula used: The Dot Product of the vectors
The angle between the vectors
The magnitude of a vector
Calculation:
The given vectors are
Substitute 3 for
Substitute 3 for
Substitute 5 for
Substitute 13 for
Simplify the above expression,
Thus, the angle between the vectors
(b)
To find: The component of u along v.
(b)
Answer to Problem 5T
The component of u along v is
Explanation of Solution
Given:
The two vectors are given below,
From part (a), the value of
Formula used: The component of u along v is given below,
Calculation:
Substitute 13 for
Thus, the component of u along v is
(c)
To find: The Projection of u onto v.
(c)
Answer to Problem 5T
The Projection of u onto v is
Explanation of Solution
Given:
The given vectors are
From part (a), the value of
Formula used: The Projection of u onto v is given below,
Calculation:
Substitute 13 for
Thus, the Projection of u onto v is
Chapter 9 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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