Consider the three displacement vectors shown in the figure: Vector→AA→has a magnitude of 8.30 km and a direction that makes an angleθθ= 24.0° to the left of the positive y-axis, vector→BB→has a magnitude of 5.70 km and a direction that makes an angle ofαα=34.0° above the positive x-axis, and vector→CC→has a magnitude of 3.50 km and a direction that makes an angleββ= 60.0° below the negative x-axis. Determine the magnitude of the vector→D=→AD→=A→+→BB→+→CC→
Consider the three displacement vectors shown in the figure: Vector→AA→has a magnitude of 8.30 km and a direction that makes an angleθθ= 24.0° to the left of the positive y-axis, vector→BB→has a magnitude of 5.70 km and a direction that makes an angle ofαα=34.0° above the positive x-axis, and vector→CC→has a magnitude of 3.50 km and a direction that makes an angleββ= 60.0° below the negative x-axis. Determine the magnitude of the vector→D=→AD→=A→+→BB→+→CC→
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 61P
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Question
Consider the three displacement vectors shown in the figure: Vector
→
A
A→
has a magnitude of 8.30 km and a direction that makes an angle
θ
θ
= 24.0° to the left of the positive y-axis, vector
→
B
B→
has a magnitude of 5.70 km and a direction that makes an angle of
α
α
=34.0° above the positive x-axis, and vector
→
C
C→
has a magnitude of 3.50 km and a direction that makes an angle
β
β
= 60.0° below the negative x-axis. Determine the magnitude of the vector
→
D
=
→
A
D→=A→
+
→
B
B→
+
→
C
C→
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