Question

Select the correct answer from each drop-down menu.

AABC has vertices at A(11, 6), B(5, 6), and C(5, 17).
AXYZ has vertices at X(-10, 5), Y(-12, -2), and Z(-4, 15).
AMNO has vertices at M(-9, -4), M(-3, -4), and O(-3, -15).
AJKL has vertices at A(7, -2), K(12, -2), and L(12, 7).
APQR has vertices at P(12, 3), O(12, -2), and R(3, -2).

Answer 1

To add vectors using their components, first identify the x- and y-axes, then find the components using cos and sin. Finally, determine the resulting components of the vectors in the x and y directions.

Step-by-step explanation:

1. Identify the x- and y-axes that will be used in the problem.
2. Find the components of each vector to be added along the chosen perpendicular axes. Use the equations Ax = A cos 0 and Ay = A sin to find the components.
3. In Figure 3.29, these components are Ax, Ay, Bx, and By. The angles that vectors A and B make with the x-axis are A and B, respectively.