(c) Use the projections of OP along the x and y directions to calculate the magnit using OP=√(OP)²+(OP₁) ². OP= cm (d) Use the projections of OP along the x' and y' directions to calculate the mag using OP= cm OP= √(OF (OP、)² + (OP)² (e) What can you conclude about the magnitude of a vector with respect to rota

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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Question D only
1.
The vector OP shown in the figure has a length of 6 cm. Two sets of perpendicular axes, x-y
and x'-y', are shown. Express OP in terms of its x and y components in each set of axes.
(a) Calculate the projections of OP along the x and y directions.
(OP),=
(OP),=
cm
(OP)x=
(OP), =
cm
30°
30°
t
(b) Calculate the projections of OP along the x' and y' directions.
cm
cm
Transcribed Image Text:1. The vector OP shown in the figure has a length of 6 cm. Two sets of perpendicular axes, x-y and x'-y', are shown. Express OP in terms of its x and y components in each set of axes. (a) Calculate the projections of OP along the x and y directions. (OP),= (OP),= cm (OP)x= (OP), = cm 30° 30° t (b) Calculate the projections of OP along the x' and y' directions. cm cm
(c) Use the projections of OP along the x and y directions to calculate the magnitude of OP
using OP=√(OP)²+(OP₁) ².
OP =
cm
(d) Use the projections of OP along the x' and y' directions to calculate the magnitude of OP
using
OP = √√(OP)² + (OP)²
OP =
cm
(e) What can you conclude about the magnitude of a vector with respect to rotated coordinate
axes?
The magnitude of the vectors using components in different coordinate axes that are
rotated with respect to each other
◆ change.
Transcribed Image Text:(c) Use the projections of OP along the x and y directions to calculate the magnitude of OP using OP=√(OP)²+(OP₁) ². OP = cm (d) Use the projections of OP along the x' and y' directions to calculate the magnitude of OP using OP = √√(OP)² + (OP)² OP = cm (e) What can you conclude about the magnitude of a vector with respect to rotated coordinate axes? The magnitude of the vectors using components in different coordinate axes that are rotated with respect to each other ◆ change.
Expert Solution
Step 1

Given value---

  • OP = 6 cm.

We have to find---

  • (d) Use the projections of OP along the x' and y' directions to calculate the magnitude of OP?
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