   Chapter 1.10, Problem 1.2QQ

Chapter
Section
Textbook Problem

Figure 1.19 shows two vectors lying in the xy-plane. Determine the signs of the x- and y-components of A → , B → , and A →  +  B → .

To determine
The direction signs of the vectors A, B and (A+B).

Explanation

The vectors are lying in xy-plane. As vectors are having both magnitude and direction, the sign of the vectors can be determined from both magnitude and the direction of the vectors.

The vector A is lying in the second quadrant. Thus, the component of vector A is directed along the negative x-axis and the positive y-axis. Thus, the sign of the x-component of A is negative and that of the y-component is positive.

The vector B is lying in the fourth quadrant and the component of vector B is lying along the positive x-axis and the negative y-axis. Thus, the sign of the x-component of B is positive and that of the y-component is negative

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