Question

(B/B) • B if given vector B?

Given that vector B is in quadrant 1 and the magnitude of vector B is 6.9 and the angle of vector B is 53.0. So what would (B/B) • B = ?

Answer 1

To find (B/B) • B, first find the components of vector B using trigonometry. Then, calculate the magnitude squared of vector B.

Step-by-step explanation:

In order to find the expression (B/B) • B, we first need to find the components of vector B. Given that the magnitude of vector B is 6.9 and the angle of vector B is 53.0°, we can use trigonometry to find the components. The x-component of vector B is Bx = B cos(angle) = 6.9 cos(53.0°) and the y-component of vector B is By = B sin(angle) = 6.9 sin(53.0°).

Once we have the components of vector B, we can calculate the expression (B/B) • B. This expression represents the scalar projection of vector B onto itself, which is equal to the magnitude of vector B squared. So, (B/B) • B = ||B||^2 = (6.9)^2 = 47.61.