Concept explainers
(a)
Component form of vector
(a)
Answer to Problem 33PQ
Component form of vector
Explanation of Solution
Write the x-component of vector
Here,
Write the y-component of vector
Here,
Write the expression for component form of vector
Here,
Conclusion:
Substitute
Therefore, the component form of vector
(b)
Magnitude and direction of vector
(b)
Answer to Problem 33PQ
Magnitude is
Explanation of Solution
Write the expression to find the magnitude of vector
Here,
Since both
Here,
Conclusion:
Substitute
Substitute
Thus, the magnitude is
The angle from positive
Therefore, the magnitude and direction of the vector is
(c)
Identify
(c)
Answer to Problem 33PQ
Vector
Explanation of Solution
Write the relation between
Here,
Write the relation between
Here,
Write the expression for component form of vector
Conclusion:
Substitute
Substitute
Substitute
Therefore, the vector
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Chapter 3 Solutions
Physics for Scientists and Engineers: Foundations and Connections
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