A vector has an x-component
of 6.15 m and a y-component
of -3.88 m.
Find the direction of the vector.

Explanation:

A vector is said to be resolved if it is expressed in terms of 2 components along 2 perpendicular axes, generally chosen as the x- and y- direction of the Cartesian plane.

The components of a vector are given by

where

v is the magnitude of the vector

is the angle that the vector makes with the x-axis

By dividing the second equation by the  first one, we get:

In this problem, we have:

is the x-component of the vector

is the y-component of the vector

Solving for , we can find the direction of the vector:

where the negative sign means below the x-axis.

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