5. Two vectors, A and B are added together to form the vector C = A + B. The magnitude of these vectors are related as the following: Cx = 0, Cy= A Sin 60°+ B Sin 30° Ax and By point in the positive x and y directions, respectively. Find the orientations of the vectors A and B with respect to the x and y axis?

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
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**Problem 5: Vector Addition and Orientation Analysis**

Two vectors, \(\vec{A}\) and \(\vec{B}\), are added together to form the vector \(\vec{C} = \vec{A} + \vec{B}\). The magnitudes of these vectors are related as follows:

\[C_x = 0,\]
\[C_y = A \sin 60^\circ + B \sin 30^\circ.\]

Vectors \(A_x\) and \(B_y\) point in the positive x and y directions, respectively.

**Question:**
Find the orientations of the vectors \(\vec{A}\) and \(\vec{B}\) with respect to the x and y axes.
Transcribed Image Text:**Problem 5: Vector Addition and Orientation Analysis** Two vectors, \(\vec{A}\) and \(\vec{B}\), are added together to form the vector \(\vec{C} = \vec{A} + \vec{B}\). The magnitudes of these vectors are related as follows: \[C_x = 0,\] \[C_y = A \sin 60^\circ + B \sin 30^\circ.\] Vectors \(A_x\) and \(B_y\) point in the positive x and y directions, respectively. **Question:** Find the orientations of the vectors \(\vec{A}\) and \(\vec{B}\) with respect to the x and y axes.
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