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Question

A unit vector parallel to xy plane and perpendicular to the vector 4^i3^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^i4^j5
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Solution

The correct option is C ±3^i+4^j5
Letthevectorbex^i+y^j(x^i+y^j).(4^i3^j+^k)=04x3y=0x2+y2=1x2+16x29=125x29=1x=±35x=35,y=45x=35,y=45Requiredvector=±3^i+4^j5Hence,theoptionCiscorrect.

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