Given `vec(A) = 3 hat(i) + 4 hat(j)` and `vec(B) = 6 hat(i) + 8 hat(j)`.
(A) `vec(A) . Vec(B) = 50`
(B) `(|vec(A)|)/(|vec(B)|) = (1)/(2)`
(C ) `|vec(A)| = 5`
(D) Projection vector of `vec(A)` along `vec(B)` is `3hat(i) + 4 hat(j)`
Which of the following statements is correct ?

Options

A. Only A is correct
B. Only A and B are correct
C. Only A, B and C are correct
D. All are correct

Answer

D

Explanation

(A) `vec(A) . Vec(B) = 18 + 52 = 50`
(B) `|A| = 5, |B| = 10`
(D) `(50(6 hat(i) + 8 hat(j)))/(100) = 3 hat(i) + 4 hat(j)`