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Question

If x.a=0,x×b=c×b then x =

A
cc.ab.ab
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B
cc.ab.aa
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C
ac.ab.ab
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D
bc.ab.ab
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Solution

The correct option is A cc.ab.ab
x×b=c×b(xc)×b=0xc is parallel to b
xc=λb for some scalar λx=c+λb
x.a=0(c+λb).a=0c.a+λb.a=0λ=c.ab.ax=cc.ab.ab

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