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Question

A unit vector parallel to the resultant of the vectors A=^i+4^j2^k and B=3^i5^j+^k is

A
4^i^j^k
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B
4^i18^j18^i18
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C
4^i18+^j18+^k18
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D
4^i+^j+^k
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Solution

The correct option is B 4^i18^j18^i18
Resultant, R=A+B
R=(^i+4^j2^k)+(3^i5^j+^k)
R=4^i^j^k
Unit vector along R,
^R=R|R|
^R=4^i^j^k42+12+12
^R=4^i18^j18^k18

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