Question

Find the magnitude and angle of a vector given the components: Bx=7, By=-5​

Answer 1

Magnitude = 8.6

Angle = 324.5 degree from + X axis in counter clock wise direction.

Step-by-step explanation:

X component of B, Bx = 7

Y component of B, By = - 5

The magnitude of the resultant is

`B =\sqrt{7^(2)+(-5)^2}\\\\B =√(49+ 25)\\\\B = 8.6`

The angle is given by

`tan\theta=(By)/(Bx)\\\\tan\theta = \frac {-5}{7}\\\\\theta = 324.5^(o)`