A jogger travels a route that has two parts. The first is a displacement A of 1.90 km due south, and the second involves a displacement B that points due east. The resultant displacement A + B has a magnitude of 4.00 km. (a) What is the magnitude of B, and (b) what is the direction of A + B as a positive angle relative to due south? Suppose that A - B had a magnitude of 4.00 km. (c) What then would be the magnitude of B, and (d) what is the direction of A - B relative to due south?

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Chapter1: Units, Trigonometry. And Vectors
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A jogger travels a route that has two parts. The first is a displacement A of 1.90 km due south, and the second involves a displacement
B that points due east. The resultant displacement A + B has a magnitude of 4.00 km. (a) What is the magnitude of B, and (b) what is
the direction of A + B as a positive angle relative to due south? Suppose that A - B had a magnitude of 4.00 km. (c) What then would
be the magnitude of B, and (d) what is the direction of A - B relative to due south?
Transcribed Image Text:A jogger travels a route that has two parts. The first is a displacement A of 1.90 km due south, and the second involves a displacement B that points due east. The resultant displacement A + B has a magnitude of 4.00 km. (a) What is the magnitude of B, and (b) what is the direction of A + B as a positive angle relative to due south? Suppose that A - B had a magnitude of 4.00 km. (c) What then would be the magnitude of B, and (d) what is the direction of A - B relative to due south?
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