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

Sagot :

Numenius

Answer:

Magnitude = 8.6

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

Explanation:

X component of B, Bx = 7

Y component of B, By = - 5

The magnitude of the resultant is  

[tex]B =\sqrt{7^{2}+(-5)^2}\\\\B =\sqrt{49+ 25}\\\\B = 8.6[/tex]

The angle is given by

[tex]tan\theta=\frac{By}{Bx}\\\\tan\theta = \frac {-5}{7}\\\\\theta = 324.5^{o}[/tex]

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