A vector has an xcomponent of 255 units and a ycomponent of

A vector has an x-component of

25.5 units

and a y-component of 28.5 units. Find the magnitude and direction of the vector.

Solution

Magnitude = sqrt ( x² + y²)

= sqrt ( (-25.5)² + 28.5² )

= 38.24 units

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theta = tan^-1 ( y / x )

= tan^-1 ( 28.5 / -25.5 ) = -48.189 deg

180 - 48.189 = 131.8 deg