Answered: The x component of vector A is -14.5 m…

The x component of vector A is -14.5 m and they component is +45.6 m. (a) What is the magnitude of A? (b) What is the angle between the direction of A and the positive direction of x?

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Question

help

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The x component of vector A is -14.5 m and they component is +45.6 m. (a) What is the magnitude of A? (b) What is the angle
between the direction of A and the positive direction of x?
(a) Number i
(b) Number i
Units
Units
m
° (degrees)

Expert Solution

Step 1

$G i v e n, \vec{A_{X}} = - 14.5 m \hat{i} \vec{A_{Y}} = + 45.6 m \hat{j} \vec{A} = \vec{A_{X}} + \vec{A_{Y}} |\vec{A}| = \sqrt{{A_{X}}^{2} + {A_{Y}}^{2}} |\vec{A}| = \sqrt{{(14.5)}^{2} + {(45.6)}^{2}} |\vec{A}| = 47.85 m$