Question

Write an expression for magnitude of the resultant vector r of two vectors a and b acting at a point. When will this resultant vector r be maximum

Answer 1

Explanation:

hope you get the solution

Answer 2

The resultant between the two vectors is maximum if the angle between them is 0°.

• The expression for magnitude of the resultant vector 'r' of two vectors 'a' and 'b' is given by

                         $|r|=\sqrt{|a|^{2}+|b|^{2}+2|a||b|cos\alpha}$

        where $\alpha$ is the angle between the vectors a and b

• The resultant of the two vectors is maximum when

                         $cos\alpha=1$

                     ⇒ $cos\alpha=cos0$

                     ⇒ $\alpha=0$

• In this case,

                        $|r|=|a|+|b|$