The unit vector parallel to the resultant of the vectors `vec(A) = hat(i) + 2 hat(j) - hat(k)` and `vec(B) = 2 hat(i) + 4 hat(j) - hat(k)` isA. `(1)/(49) (7 hat(i) + 6 hat(j) - 2 hat(k))`B. `(1)/(7) (3 hat(i) + 6 hat(j) - 2 hat(k))`C. `(1)/(49) (3 hat(i) + 6 hat(j) - 2 hat(k))`D. `(1)/(7) (7 hat(i) + 6 hat(j) - 2 hat(k))`

The unit vector parallel to the resultant of the vectors `vec(A) = hat

1.	The unit vector parallel to the resultant of the vectors `vec(A) = hat(i) + 2 hat(j) - hat(k)` and `vec(B) = 2 hat(i) + 4 hat(j) - hat(k)` isA. `(1)/(49) (7 hat(i) + 6 hat(j) - 2 hat(k))`B. `(1)/(7) (3 hat(i) + 6 hat(j) - 2 hat(k))`C. `(1)/(49) (3 hat(i) + 6 hat(j) - 2 hat(k))`D. `(1)/(7) (7 hat(i) + 6 hat(j) - 2 hat(k))`
Answer» Correct Answer - B `vec(A) + vec(B) = 3i + 6 j - 2k` `\|vec(A) + vec(B)\| = sqrt((3)^(2) + (6)^(2) + (-2)^(2)) = 7` Unit vector along `(vec(A) + vec(B)) = (vec(A) + vec(B))/(\|vec(A) + vec(B)\|) = (1)/(7) ( 3i + 6j - 2k)`

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