The unit vector parallel to the resultant of the vectors A⃗=4 î+3 ĵ+6 k̂ and B⃗=-î+3 ĵ-8 k̂ is [E...

The unit vector parallel to the resultant of the vectors A⃗=4 î+3 ĵ+6 k̂ and B⃗=-î+3 ĵ-8 k̂ is
[EAMCET 2000; Similar BHU 1995]
(a) 1/7(3 î+6 ĵ-2 k̂)
(b) 1/7(3 î+6 ĵ+2 k̂)
(c) 1/49(3 î+6 ĵ-2 k̂)
(d) 1/49(3 î-6 ĵ+2 k̂)
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[@MySkills_smiley]

Very very nice explanation