If `vecA=4hati-3hatj` and `vecB=6hati+8hatj` then magnitude and direction of `vecA+vecB` will be

Options

A. `5, tan^(-1)(3//4)`
B. `5sqrt(5), tan ^(-1)(1//2)`
C. `10, tan ^(-1)(5)`
D. `25 ,tan ^(-1)(3//4)`

Answer

B

Explanation

(b) `A+B=10hati+5hatj`
` therefore |A+B|=sqrt(100+25)=5sqrt(5)`
Angle of A.B with X-axis,
`theta=tan^(-1)((5)/(10))=tan^(-1)((1)/(2))`