(a)
The angle between the pair of vectors.
(a)
Answer to Problem 67PQ
The angle between the pair of vectors is
Explanation of Solution
Write the expression for the magnitude of vector
Here,
Write the expression for the magnitude of vector
Here,
Write the expression for dot product between
Write the expression for angle between
Conclusion:
Substitute
Substitute
Substitute
Substitute
Therefore, the angle between the pair of vectors is
(b)
The angle between the pair of vectors.
(b)
Answer to Problem 67PQ
The angle between the pair of vectors is
Explanation of Solution
Write the expression for the magnitude of vector
Here,
Write the expression for the magnitude of vector
Here,
Write the expression for dot product between
Write the expression for angle between
Conclusion:
Substitute
Substitute
Substitute
Substitute
Therefore, the angle between the pair of vectors is
(c)
The angle between the pair of vectors.
(c)
Answer to Problem 67PQ
The angle between the pair of vectors is
Explanation of Solution
Write the expression for the magnitude of vector
Here,
Write the expression for the magnitude of vector
Here,
Write the expression for dot product between
Write the expression for angle between
Conclusion:
Substitute
Substitute
Substitute
Substitute
Therefore, the angle between the pair of vectors is
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