Question

The resultant of two vector is perpendicular to one of them and has the magnitude 4m if the sum of the magnitude of two vector is 8m then their respective magnitude are?

Answer 1

A+B= 8M

A²=B²+R²

R²=A²-B²

R=(A+B)(A-B)

4m=8m(A-B)

A-B=2

A+B=8m

2A=2+8m

A=1+4m

B=4m-1