Explanation Given: The z-component d z of the displacement vector d → is 2450 m and the horizontal distance from base camp to base summit is 4580 m with a direction of 38.4 °. Formula used: The situation can be shown below: The components of the displacement vector d → can be obtained using: d x = 4580 cos θ ... ( 1 ) And d y = 4580 sin θ ... ( 2 ) Where: d x is the x-component of the displacement vector d → . d y is the y-component of the displacement vector d → . θ is the angle measured from the + x -axis. In this case, the z-component is known. The magnitude | d → | of the displacement vector d → is defined as: | d → | = d x 2 + d y 2 + d z 2 ... ( 3 ) Where: d x is the x-component of the displacement vector d →

7th Edition

ISBN: 9780321921741

Author: GIANCOLI

Publisher: PEARSON

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Chapter 3, Problem 15P

To determine

The components of displacement vector from camp to summit.

The magnitude.

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The components of displacement vector from camp to summit. The magnitude.