A displacement vector points in a direction of 0 = 21° left of the positive y- axis. I'he magnitude of this vector is D = 105 m. Refer to the figure. Part (a) Enter an expression for the x-component vector, Dr, in terms of D, 6, and the unit vectors i and j. Dx = D sin(0) cos(a) cos(o) cos(e) cos(90+0) ( 9 HOME sin(a) sin(o) sin(e) 4 5 i * 1 2 j k D END - h P VOI BACKSРАСЕ CLEAR m DEL Submit Hint Feedback I give up! -It helps to draw the components of the given vector and then apply trigonometry. Your answer needs to be a vector. Part (b) Enter an expression for the y-component vector, D,, in terms of D, 6, and the unit vectors i and j. D, = D cos(0) X Part (c) Enter an expression for the vector D in terms of D, 6, and the unit vectors i and j. Part (d) What is the sum of the magnitudes of vectors D, and D,, in meters?

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
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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A displacement vector points in a direction of 0 = 21° left of the positive y-
axis. I'he magnitude of this vector is D = 105 m. Refer to the figure.
Part (a) Enter an expression for the x-component vector, D.. in terms of D. 6, and the unit vectors i and j.
Dx = D sin(0)
cos(a)
cos(o)
cos(e)
cos(90+0)
(
HOME
sin(a)
sin(o)
sin(e)
4
5
i
* 1
2
j
k
D
END
h
P
VOI BACKSPACE
CLEAR
m
DEL
Submit
Hint
Feedback
I give up!
-It helps to draw the components of the given vector and then apply trigonometry. Your answer needs to be a vector.
Part (b) Enter an expression for the y-component vector, D,, in terms of D, 6, and the unit vectors i and j.
D, =D cos(e) X
Part (c) Enter an expression for the vector D in terms of D, 6, and the unit vectors i and j.
Part (d) What is the sum of the magnitudes of vectors D, and D,, in meters?
Transcribed Image Text:A displacement vector points in a direction of 0 = 21° left of the positive y- axis. I'he magnitude of this vector is D = 105 m. Refer to the figure. Part (a) Enter an expression for the x-component vector, D.. in terms of D. 6, and the unit vectors i and j. Dx = D sin(0) cos(a) cos(o) cos(e) cos(90+0) ( HOME sin(a) sin(o) sin(e) 4 5 i * 1 2 j k D END h P VOI BACKSPACE CLEAR m DEL Submit Hint Feedback I give up! -It helps to draw the components of the given vector and then apply trigonometry. Your answer needs to be a vector. Part (b) Enter an expression for the y-component vector, D,, in terms of D, 6, and the unit vectors i and j. D, =D cos(e) X Part (c) Enter an expression for the vector D in terms of D, 6, and the unit vectors i and j. Part (d) What is the sum of the magnitudes of vectors D, and D,, in meters?
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