Question

explain when the resultant of two vectors attains its maximum and minimum values

Answer 1

when angle between the two vector is zero then the resultant is maximum but when the angle between two vectors is 180 then their resultant is minimum

Answer 2

Explanation:

We know that the resultant of two vectors can be given by,

Resultant R= √(A^2+B^2+2AB cosθ)

When the angle between  two vector is θ=0° then Cosθ=1

The resultant will be R= √(A^2+B^2+2AB x 1)

=>  R= √(A^2+B^2+2AB) = $\sqrt{(A+B)^2}$

∴ R= (A+B)  ................. (Maximum Value)

But when the angle between  two vector is θ=180° then Cosθ=-1

The resultant will be R= √(A^2+B^2+2AB x (-1))

=>  R= √(A^2+B^2-2AB) = $\sqrt{(A-B)^2}$

∴ R= (A-B) ................. (Minimum Value)