### Vector Projections and Magnitude Calculation#### (b) Calculate the Projections of \(\overrightarrow{OP}\)To project the vector \(\overrightarrow{OP}\) along the \(x'\) and \(y'\) directions:- Enter the projection on the \(x'\) axis: \((\overrightarrow{OP})_{x'} =\) [Input Box] cm- Enter the projection on the \(y'\) axis: \((\overrightarrow{OP})_{y'} =\) [Input Box] cmEnsure values are entered to 2 significant figures.---#### (c) Use the Projections to Calculate Magnitude along \(x\) and \(y\) DirectionsTo find the magnitude of \(\overrightarrow{OP}\):\[ \overrightarrow{OP} = \sqrt{((OP)_x)^2 + ((OP)_y)^2} \]- Enter the magnitude: \(OP =\) [Input Box] cmValues should be entered to 2 significant figures.---#### (d) Use the Projections to Calculate Magnitude along \(x'\) and \(y'\) DirectionsSimilarly, to calculate the magnitude of \(\overrightarrow{OP}\) along the \(x'\) and \(y'\) directions:\[ \overrightarrow{OP} = \sqrt{((OP)_{x'})^2 + ((OP)_{y'})^2} \]- Enter the magnitude: \(OP =\) [Input Box] cmValues should be entered to 2 significant figures. ### Problem Statement:Please answer the following question(s):1. The vector \(\overrightarrow{OP}\) shown in the figure has a length of 4.0 cm. Two sets of perpendicular axes, \(x-y\) and \(x'-y'\), are shown. Express \(\overrightarrow{OP}\) in terms of its \(x\) and \(y\) components in each set of axes.#### (a) Calculate the projections of \(\overrightarrow{OP}\) along the \(x\) and \(y\) directions.Enter to 2 significant figures:\[(\overrightarrow{OP})_x = \_\_\_\, \text{cm}\]\[(\overrightarrow{OP})_y = \_\_\_\, \text{cm}\]---### Graph Explanation:The provided diagram shows two sets of axes: \(x-y\) and \(x'-y'\). Both sets are perpendicular to each other. The vector \(\overrightarrow{OP}\) originates at point \(O\) and terminates at point \(P\). The diagram indicates that the vector makes an angle of 30 degrees with both the \(x\) and \(x'\) axes.In detail:- The \(x\) and \(x'\) axes are horizontal.- The \(y\) and \(y'\) axes are vertical.- \(\overrightarrow{OP}\) is directed at an angle of 30 degrees upwards from the \(x\) axis.- An identical angle of 30 degrees is shown from the \(x'\) axis in the rotated coordinate system.

Answered: Image /qna-images/answer/a7e3f537-6a67-44e5-87f2-1beec167e712.jpg

Please answer the following question(s): 1. 30° 30° cm X² The vector OP shown in the figure has a length of 4.0 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. cm X (a) Calculate the projections of OP along the x and y directions. Enter to 2 significant figures (OP)x= (OP),=

Please answer the following question(s): 1. 30° 30° cm X² The vector OP shown in the figure has a length of 4.0 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. cm X (a) Calculate the projections of OP along the x and y directions. Enter to 2 significant figures (OP)x= (OP),=

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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