(a)
The magnitude of the scalar components of the vector
(a)
Answer to Problem 38PQ
The magnitude of the scalar components of the vector
Explanation of Solution
Given vector is
Write the general form of a vector (say
Here,
Compare the given vector with the general form to deduce its scalar components.
Conclusion:
Therefore, the magnitude of the scalar components of the vector
(b)
The magnitude of the vector
(b)
Answer to Problem 38PQ
The magnitude of the vector
Explanation of Solution
Given vector is
Write the expression for the magnitude of the vector
Conclusion:
Substitute
Therefore, the magnitude of the vector
(c)
The angles that the vector
(c)
Answer to Problem 38PQ
The angles that the vector
Explanation of Solution
Given vector is
In order to find the angle that the vector make with the coordinate axes, a right triangle can be formed with vector
Here,
Here,
Here,
Solve equation (I) for
Conclusion:
Substitute
Substitute
Substitute
Therefore, the angles that the vector
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Chapter 3 Solutions
Physics for Scientists and Engineers: Foundations and Connections
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