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Q.

Let a=i+j, b=2i-k. Then the point of intersection of the lines r×a=b×a and r×b=a×b is

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a

-i+j+k

b

3i-j+k

c

3i+j-k

d

i-j-k

answer is C.

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Detailed Solution

r×a=-a×b r×b=a×b   r×a+r×b=0  r×(a+b)=0   r  a+b a+b=3i+j-k=r

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