The two vectors a→ and b→ in the figure have equal magnitudes of 14.6 m and the angles are θ1 = 30° and θ2 = 106°. Find (a) the x component and (b) the y component of their vector sum r→, (c) the magnitude of r→, and (d) the angle r→ makes with the positive direction of the x axis.

The two vectors a→ and b→ in the figure have equal magnitudes of 14.6 m and the angles are θ1 = 30° and θ2 = 106°. Find (a) the x component and (b) the y component of their vector sum r→, (c) the magnitude of r→, and (d) the angle r→ makes with the positive direction of the x axis.

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter1: Introduction And Vectors

Section: Chapter Questions

Problem 49P

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Question

The two vectors a→ and b→ in the figure have equal magnitudes of 14.6 m and the angles are θ₁ = 30° and θ₂ = 106°. Find (a) the x component and (b) the y component of their vector sum r→, (c) the magnitude of r→, and (d) the angle r→ makes with the positive direction of the x axis.

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