Find the component vectors if the given changes are made in the indicated examples of this section.

In Example 3, change 205.32° to 270.00°.

Data from Example 3

Resolve vector A, of magnitude 375.4 and direction θ = 205.32°, into its x- and y-components. See Fig. 9.13. By placing A such that θ is in standard position, we see that

The angle 205.32° places the vector in the third quadrant, and each of the components is directed along the negative axis. This must be the case for a third-quadrant angle. Also, the reference angle is 25.32°, and we see that the magnitude of A_x is greater than the magnitude of A_y, which must be true for a reference angle that is less than 45°.

A, A cos 205.32 = 375.4 cos 205.32 -339.3 Ay = A sin 205.32 375.4 sin 205.32 = directed along negative axis -160.5