Question

Sum of magnitude of two vectors is 16N. magnitude of these resultant is 8N and resultant is $\perp$ to small vector. Find magnitude of each vector

Answer 1

$\left|A\right|+\left|B\right|=16-1$

$A^2{B}^2+2AB\cos \theta =64-2$

$B\to smaller$

$(A+B).B=0$

$A.B+B^2=0-3$

$weget\to$

$A=6N$

$B=10N$.