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Q.

Let a=i+2 j+3k , b=-i+2 j+3k , c=3i+j and d is a non zero vector perpendicular to both a and b . If (c, d )=θ then cosθ=

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a

-3130

b

-5130

c

2130

d

1130

answer is A.

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Detailed Solution

a×b=ijk123-123=i(0)-j(6)+k(4)cos θ=c.dcd=-6213.10=-3130

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