
Concept explainers
Writing
(a)

To calculate: For given
Answer to Problem 1RE
Solution:
For given
Find a component form of u and vis
Explanation of Solution
Given:
Formula used:
If
Calculation:
If
And
u
The component form of u is
If v
And
The component form of v is
(b)

To calculate: For given
Answer to Problem 1RE
Solution: For given
Explanation of Solution
Given:
Formula used:
If
Calculation:
The vectors
As according to the calculation of part (a), a component form of u and vis
(c)

To calculate: Forgiven
Answer to Problem 1RE
Solution:
Forgiven
Magnitudes of u and vu is
Explanation of Solution
Given:
Formula used:
According to the Distance Formula, the length (or magnitude) of vectoru is:
Calculation:
As per part (a),
v=
and
Therefore, the magnitude of u is
(d)

To calculate: For given
Answer to Problem 1RE
Solution:
For given
Explanation of Solution
Given:
Formula used:
The vector sum of u and v is the vector:
The scalar multiple of c and u is the vector:
Calculation:
Value of
As according to the calculation of part (a), a component form of u and v is
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