Principles of Physics: A Calculus-Based Text

5th Edition

ISBN: 9781133104261

Author: Raymond A. Serway, John W. Jewett

Publisher: Cengage Learning

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Question

A displacement vector

r

→

in the xy plane is 89 m long and directed at angle θ = 23° in the figure. Determine (a) the x component and (b) the y component of the vector.

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Consider the three displacement vectors A=(3i3j)m, B=(i4j)m, and C=(2i+5j)m. Use the component method to determine (a) the magnitude and direction of the vector D=A+B+C and (b) the magnitude and direction of E=AB+C.

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At one point in space, the direction of the electric field vector Is given In the Cartesian system by the unit vector . If the magnitude of the electric field vector is E=400.0V/m , what are the scalar components , and of the electric field vector at this point? What is the direction angle of the electric field vector at this point?

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For the two vectors
find
A − B and |A – B|
component of B along A
angle between A and B
A × B
(A − B) × (A + B)

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Find the angles that vector makes with the and axes.

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For what values of a are the vectors A = 2ai − 2j + ak and B = ai + 2aj + 2k perpendicular?

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X is an unknown vector satisfying the following relations involving the known vectors A and B and the scalar ϕ,
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Express X in terms of A, B, ϕ, and the magnitude of A.

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