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.

Answered: Image /qna-images/answer/b5bc4fff-dc43-4bfe-b71f-4d5ed2215b3e.jpg

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.

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter2: Vectors

Section: Chapter Questions

Problem 2.3CYU: Check Your understanding Using the three displacement vectors A , B , and F in Figure 2.13, choose a...

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