8.6. Non-Perpendicular Vectors

In Chap. 7 we found the components of a vector in the first quadrant. Also in Chap. 7 we found the resultant of perpendicular vectors. Here we will find the components of a vector in any quadrant, and the resultant of vectors at any angle. We will start by finding components.

8.6.1. Finding x and y Components of a Vector

The procedure is no different than in Chap. 7, except now the vector can be in any quadrant.

Example 31:

Find the x and y components of the vector .

Solution: We draw the magnitude of the vector and its components on coordinate axes, Fig. 8-50.

Then,

Similarly,

Vy = 374 sin 137° = 255
Figure 8.50. FIGURE 8-50

By calculator: We showed two ways to find components on the TI-89 Titanium in Chap. 7. First method: Enter or , from the Angle menu. Then in parentheses, enter the magnitude of the vector and then the angle, separated by a comma. ...

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