Consider the three displacement vectors shown in the figure: Vector A→ has a magnitude of 8.40 km and a direction that makes an angle θ= 23.0° to the left of the positive y-axis, vector B→ has a magnitude of 5.70 km and a direction that makes an angle of αα =30.0° above the positive x-axis, and vector C→has a magnitude of 3.50 km and a direction that makes an angle β = 60.0° below the negative x-axis. Determine the magnitude of the vector D→=A→ + →BB→ − →C 4. Consider the three displacement vectors shown in the figure: Vector A has a magnitude of 8.40 km and a direction that makes anleft of the positive y-axis, vector B has a magnitude of 5.70 km and a direction that makes an angle of a -30.0° above the positive x-axis, and vector Chas a magnitude of 3.50 km and a direction that makes an angle B = 60.0° below the negative x-axis. Determine the magnitude of the vector D = A+ B-angle 023.0° to thekmAX

The vectors can be resolved along x and y axis. For vector A, it is shown below:

Answered: 4. Consider the three displacement…

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter3: Vectors

Section: Chapter Questions

Problem 16PQ: Vector A has a magnitude of 4.50 m and makes an angle of 64.0 with the positive x axis. Vector B,...

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Consider the three displacement vectors shown in the figure: Vector A→ has a magnitude of 8.40 km and a direction that makes an angle θ= 23.0° to the left of the positive y-axis, vector B→ has a magnitude of 5.70 km and a direction that makes an angle of αα =30.0° above the positive x-axis, and vector C→has a magnitude of 3.50 km and a direction that makes an angle β = 60.0° below the negative x-axis. Determine the magnitude of the vector D→=A→ + →BB→ − →C

4. Consider the three displacement vectors shown in the figure: Vector A has a magnitude of 8.40 km and a direction that makes an
left of the positive y-axis, vector B has a magnitude of 5.70 km and a direction that makes an angle of a -30.0° above the positive x-axis, and vector C
has a magnitude of 3.50 km and a direction that makes an angle B = 60.0° below the negative x-axis. Determine the magnitude of the vector D = A+ B-
angle 0
23.0° to the
km
A
X

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