The unit vector perpendicular to both of the vectors 2 ^i−^j+^k and 3^i+4^j−^k is
A
±(−3^i+5^j+11^k)√155
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B
±(−3^i+5^i+11^k)
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C
±(−3^i−5^j+11^k)√155
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D
±(−3^i+5^j+11^k)√156
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Solution
The correct option is B±(−3^i+5^j+11^k)√155 →V=∣∣
∣
∣∣^i^j^k2−11341∣∣
∣
∣∣=−3^i+5^j+11^k |→V|=√155 Unit Vector is given by →V|→V|=+−(−3^i+5^j+11^k)√155