InterviewSolution
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InterviewSolution
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If the planes `vecr.(hati+hatj+hatk)=q_(1),vecr.(hati+2ahatj+hatk)=q_(2)andvecr.(ahati+a^(2)hatj+hatk)=q_(3)`intersect in a line, the the value of a isA. 1B. `1//2`C. 2D. 0 |
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Answer» Correct Answer - a, b `vecr*vec(n_1)=vec(q_1) and vecr*vec(n_2)=vecq_(2), vecr*vecn_(3)= vecq_(3) ` intersect in a line if `[vecn_(1) vecn_(2) vecn_(3)]=0`. So, `" "|{:(1,,1,,1),(1,,2a,,1),(a,,a^(2),,1):}|=0` or `" "2a-a^(2)-1+a+a^(2)-2a^(2)=0` or `" "2a^(2)-3a+1=0` or `" "a=1//2, 1` |
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