Given the displacement vectors \(\vec{A} = (8.00 \, \hat{\imath} - 3.00 \, \hat{\jmath} + 3.00 \, \hat{k}) \, \text{m}\) and \(\vec{B} = (8.00 \, \hat{\imath} + 5.00 \, \hat{\jmath} - 1.00 \, \hat{k}) \, \text{m}\), find the magnitudes of the following vectors and express each in terms of its rectangular components.(a) \(\vec{C} = \vec{A} + \vec{B}\)\(|\vec{C}| =\)\(\vec{C} = (\underline{\phantom{aaa}} \, \hat{\imath} + \underline{\phantom{aaa}} \, \hat{\jmath} + \underline{\phantom{aaa}} \, \hat{k}) \, \text{m}\)(b) \(\vec{D} = 2\vec{A} - \vec{B}\)\(|\vec{D}| =\)\(\vec{D} = (\underline{\phantom{aaa}} \, \hat{\imath} + \underline{\phantom{aaa}} \, \hat{\jmath} + \underline{\phantom{aaa}} \, \hat{k}) \, \text{m}\)

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Given the displacement vectors A = (8.00 î - 3.00 +3.00 k) m and B = (8.00 î+ 5.00 ĵ - 1.00 k) m, find the magnitudes of the following vectors and express each in terms of its rectangular components. ICI = C = ( (b) C = A + B teta ↑A " D ID] = D = ( = 2A - B m î+ m Î+ Ĵ+ Ĵ + k) m k) m

Given the displacement vectors A = (8.00 î - 3.00 +3.00 k) m and B = (8.00 î+ 5.00 ĵ - 1.00 k) m, find the magnitudes of the following vectors and express each in terms of its rectangular components. ICI = C = ( (b) C = A + B teta ↑A " D ID] = D = ( = 2A - B m î+ m Î+ Ĵ+ Ĵ + k) m k) m

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

Given the displacement vectors \(\vec{A} = (8.00 \, \hat{\imath} - 3.00 \, \hat{\jmath} + 3.00 \, \hat{k}) \, \text{m}\) and \(\vec{B} = (8.00 \, \hat{\imath} + 5.00 \, \hat{\jmath} - 1.00 \, \hat{k}) \, \text{m}\), find the magnitudes of the following vectors and express each in terms of its rectangular components.

(a) \(\vec{C} = \vec{A} + \vec{B}\)

\(|\vec{C}| =\)

\(\vec{C} = (\underline{\phantom{aaa}} \, \hat{\imath} + \underline{\phantom{aaa}} \, \hat{\jmath} + \underline{\phantom{aaa}} \, \hat{k}) \, \text{m}\)

(b) \(\vec{D} = 2\vec{A} - \vec{B}\)

\(|\vec{D}| =\)

\(\vec{D} = (\underline{\phantom{aaa}} \, \hat{\imath} + \underline{\phantom{aaa}} \, \hat{\jmath} + \underline{\phantom{aaa}} \, \hat{k}) \, \text{m}\)

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1. DETAILS (a) C = A + B Given the displacement vectors A = (7.00 13.00 +2.00 k) m and B = (3.00 +2.00 -6.00 k) m, find the magnitudes of the following vectors and express each in terms of its rectangular components. Tu tu C (b) D = 2A-B teta D m î+ m î+ Ĵ+ Ĵ+ k) m MY NOTES k) m ASK YOUR TEACHER