In Figure P3.46, the line segmentrepresents a path fromthe point with position vector15

Chapter 3, Problem 46

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In Figure P3.46, the line segmentrepresents a path fromthe point with position vector15 i^ 1 3 j^ 2 m to the point withlocation (16 i^ 1 12 j^) m. PointA is along this path, a fraction fof the way to the destination.(a) Find the position vector ofpoint A in terms of f. (b) Evaluatethe expression from part(a) for f 5 0. (c) Explain whetherthe result in part (b) is reasonable.(d) Evaluate the expressionfor f 5 1. (e) Explain whether the result in part (d)is reasonable.

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