A jogger travels a route that has two parts. The first is a displacement A→ of 3.00 km due south, and the second involves a displacement B→ that points due east. The resultant displacement A→ + B→ has a magnitude of 3.75 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 3.75 km. (c) What then would be the magnitude of B→, and

University Physics Volume 1
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Chapter2: Vectors
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A jogger travels a route that has two parts. The first is a displacement A→ of 3.00 km due south, and the second involves a displacement B→ that points due east. The resultant displacement A→ + B→ has a magnitude of 3.75 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 3.75 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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