What is the direction of a vector with an x component of -12 m and a y component of 21 m?

Explanation:

Displacement Vector

The displacement, as every vector, has a magnitude r and a direction angle θ measured from the positive x-axis.

If we know the x-y components of the displacement, the magnitude and angle can be calculated by the equations:

The coordinates of the given vector are x=-12 m, y=21 m, thus:

Since the vector lies in the second quadrant, we add 180° to find the correct direction:

its a 5.5 n

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