Mathematics

Mathematics

Problem

A line L1L_1 passing through a point with position vector p=i^+2j^+3k^\mathbf{p} = \hat{i} + 2\hat{j} + 3\hat{k} and parallel a=i^+2j^+3k^\mathbf{a} = \hat{i} + 2\hat{j} + 3\hat{k} . Another line L2L_2 passing through a point with position vector =2i^+3j^+3k^= 2\hat{i} + 3\hat{j} + 3\hat{k} and parallel to b=3i^+j^+2k^\mathbf{b} = 3\hat{i} + \hat{j} + 2\hat{k} . Equation of plane equidistant from line L1L_1 and L2L_2 is a. r^⋅(i^−7j^−5k^)=3\hat{r} \cdot (\hat{i} - 7\hat{j} - 5\hat{k}) = 3 b. r^⋅(i^+7j^+5k^)=3\hat{r} \cdot (\hat{i} + 7\hat{j} + 5\hat{k}) = 3 c. r^⋅(i^−7j^−5k^)=9\hat{r} \cdot (\hat{i} - 7\hat{j} - 5\hat{k}) = 9 d. r^⋅(i^+7j^−5k^)=9\hat{r} \cdot (\hat{i} + 7\hat{j} - 5\hat{k}) = 9

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