Question

Suppose you add two vectors A and B. What relative direction between them produces the
resultant with the greatest magnitude? What is the maximum magnitude? What relative direction
between them produces the resultant with the smallest magnitude? What is the minimum
magnitude?

Answer 1

Explanation:

The equation to find the magnitude of the resultant force of two

different vectors is,

Explanation:

R=\sqrt{A^2+B^2+2ABCOS}

A

2

+B

2

+2ABCOS

Θ

HERE A AND B

are the magnitudes of the two vectors,

R is the resultant of the two vectors and

.

Θ is the angle between the two vectors

For the greatest magnitude of the resultant,

WE NEED A^2+B^2+2AB COSΘ

MAXIMUM

FOR THAT WE NEED THETA TO BE MAXIMUM

AND COS THETA IS MAXIMUM AT 90 DEG