The vector `vec(c)` directed along the bisectors of the angle between the vectors `vec(a) = 7 hat(i) - 4hat(j) -4hat

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Q 2231578422.     The vector `vec(c)` directed along the bisectors of the angle
between the vectors

`vec(a) = 7 hat(i) - 4hat(j) -4hat(k)` and `vec(b) = -2 hat(i) -hat(j)+2 hat(k)` if `|vec(c) | = 3 sqrt(6)` is given by
A

`hat(i)-7hat(j)+2 hat(k)`

B

`hat(i)+ 7hat(j)-2 hat(k)`

C

` - hat(i)+ 7 hat(j)- 2 hat(k)`

D

`hat(i)-7hat(j)- 2 hat(k)`

HINT


Solution
(Provided By a Student and Checked/Corrected by EXXAMM.com Team)

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