Concept explainers
Do not calculate the result.
Prob. P2-8
(a)
To set up:
The dot product to calculate the angle
Answer to Problem 8PP
The setup of the dot product in case (a) is
Explanation of Solution
Establish the coordinates for point
Express the position vector r in the direction of OA.
Here, the coordinates of A and O are
Express the magnitude of the direction of OA.
Express the position vector r in the direction of OB.
Here, the coordinates of B and O are
Express the magnitude of the direction of OB.
Determine the angle between two vectors.
Conclusion:
Substitute 0 for
Substitute 0 for
Substitute 2 m for
Substitute 2 m for
Substitute
Thus, the set-up of the dot product in case (a) is
(b)
To set up:
The dot product to calculate the angle
Answer to Problem 8PP
The setup of the dot product in case (b) is
Explanation of Solution
Let us establish the coordinates for point
Conclusion:
Substitute 2 m for
Substitute 2 m for
Substitute 1.5 m for
Substitute 1.5 m for
Substitute
Thus, the set-up of the dot product in case (b) is
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