Solved: Two vectors a and b have the components, in

Chapter , Problem 48

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Two vectors \(\vec{a}\) and \(\vec{b}\) have the components, in meters, \(a_{x}=3.2, a_{y}=1.6, b_{x}=0.50, b_{y}=4.5\).

(a) Find the angle between the directions of \(\vec{a}\) and \(\vec{b}\). There are two vectors in the xy plane that are perpendicular to \(\vec{a}\) and have a magnitude of 5.0 m. One, vector \(\vec{c}\), has a positive x component and the other, vector \(\vec{d}\), a negative x component. What are

(b) the x component and

(c) the y component of vector \(\vec{c}\), and

(d) the x component and

(e) the y component of vector \(\vec{d}\) ?

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