Question

The components of vector A and vector B are:

(A_x = +7.6 quad B_x = -3.8)
(A_y = -9.2 quad B_y = -4.6)
Which equation describes the relationship between the two vectors?
a. (B = 2A)
b. (B = -A)
c. (B = -0.5A)
d. (B = A + (3.8, -4.6))

Answer 1

The relationship between vector A and vector B can be determined by adding their components and writing an equation. The equation that describes the relationship between the two vectors is B = A + (3.8, -4.6).

Step-by-step explanation:

The relationship between vector A and vector B can be determined by adding their components. Since the x-component of vector A is +7.6 and the x-component of vector B is -3.8, and the y-component of vector A is -9.2 and the y-component of vector B is -4.6, we can write the equation as:

B = A + (3.8, -4.6)

This means that vector B is equal to vector A added to the components (3.8, -4.6).