Question

Find the x- and y-components of R = 2A − B if A has components Ax = 15.4 m and Ay = 12.6 m whereas B has components Bx = 21.4 m and By = 6.10 m.

X -component

Answer 1

To determine the components of the resultant vector R = 2A − B, the x-component is Rx = 9.4 m and the y-component is Ry = 19.1 m by doubling the components of A and then subtracting the components of B.

Step-by-step explanation:

To find the x- and y-components of R = 2A − B, we first consider the given components of vectors A and B. Vector A has components Ax = 15.4 m and Ay = 12.6 m, while vector B has components Bx = 21.4 m and By = 6.10 m.

We calculate the x-component of R as follows:

Rx = 2Ax − Bx = 2(15.4 m) − 21.4 m = 30.8 m − 21.4 m = 9.4 m.

Similarly, we calculate the y-component of R:

Ry = 2Ay − By = 2(12.6 m) − 6.10 m = 25.2 m − 6.10 m = 19.1 m.

The x-component and y-component of the resultant vector R are 9.4 m and 19.1 m, respectively.