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Question

The number of vectors of unit length perpendicular to vectors a=^i+^j and b=^j+^k is

A
1
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B
2
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C
3
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D
none
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Solution

The correct option is D 2
let the vector be
C=C1^i+C2^j+C3^k
a.b=0C1+C2=0
b.c=0C2+C3=0
C=C2^i+C2^jC2^k
C=1
3C22=1C2=±13

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