If `vec(A)=4hat(i)-3hat(j)` and `vec(B)=6hat(i)+8hat(j)`,then find the magnitude and direction of `vec(A)+vec(B)`.A. `5, tan^(-1)(3//4)`B. `5 sqrt(5), tan^(-1)(1//2)`C. `10, tan^(-1)(5)`D. `25, tan^(-1)(3//4)`

If `vec(A)=4hat(i)-3hat(j)` and `vec(B)=6hat(i)+8hat(j)`,then find the

1.	If `vec(A)=4hat(i)-3hat(j)` and `vec(B)=6hat(i)+8hat(j)`,then find the magnitude and direction of `vec(A)+vec(B)`.A. `5, tan^(-1)(3//4)`B. `5 sqrt(5), tan^(-1)(1//2)`C. `10, tan^(-1)(5)`D. `25, tan^(-1)(3//4)`
Answer» Correct Answer - B `vec(A)+vec(B)= 4hat(i)-3hat(j)+6hat(i)+8hat(j)= 10hat(i)+5hat(j)` `\|vec(A)+vec(B)\|= sqrt((10)^(2)+(5)^(2))=5sqrt(5)` `tan theta= 5/(10)= 1/2implies theta= tan^(-1)(1/2)`

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