1.=(OP), =The vector OP shown in the figure has a length of 12.0 cm. Two sets of perpendicular axes, x-y andx'-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.Enter to 2 significant figures✔cmEnter to 2 significant figuresOP=cm✔ cmEnter to 2 significant figuresOP =30°(b) Calculate the projections of OP along the x' and y' directions.Enter to 2 significant figures(OP)x=(OP) y¹ =✔ cm30⁰✔cmX'X(c) Use the projections of OP along the x and y directions to calculate the magnitude of OP usingOP=√(OP)²+(OP)².✔cm(d) Use the projections of OP along the x' and y' directions to calculate the magnitude of OP usingOP=√(OP)²+(OP)².(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 rotatedwith respect to each otherchange.

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1. The vector OP shown in the figure has a length of 12.0 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. Enter to 2 significant figures (OP)x (OP), = = OP = ✓cm (b) Calculate the projections of OP along the x and y directions. Enter to 2 significant figures (OP)x (OP) y¹ = Enter to 2 significant figures OP= ✔cm P /30° fo 30° ✔cm X' (c) Use the projections of OP along the x and y directions to calculate the magnitude of OP using OP=√(OP)²+(OP)². ✓cm (d) Use the projections of OP along the x' and y' directions to calculate the magnitude of OP using =√√(OPx)² + (OP)². Enter to 2 significant figures 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.

1. The vector OP shown in the figure has a length of 12.0 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. Enter to 2 significant figures (OP)x (OP), = = OP = ✓cm (b) Calculate the projections of OP along the x and y directions. Enter to 2 significant figures (OP)x (OP) y¹ = Enter to 2 significant figures OP= ✔cm P /30° fo 30° ✔cm X' (c) Use the projections of OP along the x and y directions to calculate the magnitude of OP using OP=√(OP)²+(OP)². ✓cm (d) Use the projections of OP along the x' and y' directions to calculate the magnitude of OP using =√√(OPx)² + (OP)². Enter to 2 significant figures 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.

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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Scalars and Vectors

Scalars and Vectors are the classification of physical quantities that are used to denote various terms in physics.

Question

1.
=
(OP), =
The vector OP shown in the figure has a length of 12.0 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.
Enter to 2 significant figures
✔cm
Enter to 2 significant figures
OP=
cm
✔ cm
Enter to 2 significant figures
OP =
30°
(b) Calculate the projections of OP along the x' and y' directions.
Enter to 2 significant figures
(OP)x=
(OP) y¹ =
✔ cm
30⁰
✔cm
X'
X
(c) Use the projections of OP along the x and y directions to calculate the magnitude of OP using
OP=√(OP)²+(OP)².
✔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.
(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.

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Step 2: Determine the components of vector OP along x-y axis and x'-y' axis

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Step 3: Determine magnitude of OP for x-y axis and x'-y' axis

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Step 4: Find if magnitude of vector using comp in different coordinate axes rotated with each other change

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