A unit vector parallel to xy plane and perpendicular to the vector 4^i−3^j+^k is
A
±(^i+^j+^k)√3
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B
±^i+^j5
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C
±3^i+4^j5
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D
±3^i−4^j5
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Solution
The correct option is C±3^i+4^j5 Letthevectorbex^i+y^j(x^i+y^j).(4^i−3^j+^k)=04x−3y=0x2+y2=1x2+16x29=125x29=1x=±35x=35,y=45x=−35,y=−45Requiredvector=±3^i+4^j5Hence,theoptionCiscorrect.