The angle between i^ line of the intersection of the plane r→⋅(i^+2j^+3k^)=0 and r→⋅(3i^+3j^+k^)=0 is
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a
cos−113
b
cos−113
c
cos−123
d
none of these
answer is D.
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Detailed Solution
Line of intersection of r→⋅(i^+2j^+3k^)=0 and r→⋅(3i^+3j^+k^)=0 will be Parallel to (3i^+3j^+k^)×(i^+2j^+3k^), i.e., 7i^−8j^+3k^If the required angle is θ then cosθ=749+64+9=7122