(a)
To find: The magnitude of the
(a)
Answer to Problem 8CT
The magnitude of vector
Explanation of Solution
Given information:
Let
Formula Used:
The component form of a vector
The magnitude of any vector
Calculation:
Substitute
So, the component form of the vector
Substitute
Therefore, the magnitude of vector
(b)
To find: The dot product of vector
(b)
Answer to Problem 8CT
The dot product of vector
Explanation of Solution
Given information:
Let
Formula used:
The dot product of two vectors
Calculation:
As calculated in part(a), the component form of the vector
Substitute
Substitute the values of
Therefore, The dot product of vector
(c)
To find: The cross product of vector
(c)
Answer to Problem 8CT
The cross product of vector
Explanation of Solution
Given information:
Let
Formula used:
The dot product of two vectors
Calculation:
As calculated in part (a), the component form of the vector
As calculated in part (b), the component form of the vector
Substitute
Therefore, the cross product of vector
Chapter 10 Solutions
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
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