A unit vector parallel to the resultant of the vectors →A=^i+4^j−2^k and →B=3^i−5^j+^k is
A
4^i−^j−^k
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B
4^i√18−^j√18−^i√18
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C
−4^i√18+^j√18+^k√18
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D
−4^i+^j+^k
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Solution
The correct option is B4^i√18−^j√18−^i√18 Resultant, →R=→A+→B →R=(^i+4^j−2^k)+(3^i−5^j+^k) →R=4^i−^j−^k Unit vector along →R, ^R=→R|→R| ^R=4^i−^j−^k√42+12+12 ^R=4^i√18−^j√18−^k√18