AP EAMCET · Maths · Three Dimensional Geometry
If the direction ratios of two lines \(L_1\) and \(L_2\) are given by \((1,-2,2)\) and \((-2,3,-6)\) respectively, then the direction ratios of the line which is perpendicular to the lines \(\mathrm{L}_1\) and \(\mathrm{L}_2\) are
- A \((1,-2,3)\)
- B \((-2,3,5)\)
- C \((6,2,-1)\)
- D \((2,-1,3)\)
Answer & Solution
Correct Answer
(C) \((6,2,-1)\)
Step-by-step Solution
Detailed explanation
Let \(\vec{d_1} = (1, -2, 2)\) and \(\vec{d_2} = (-2, 3, -6)\). \(\vec{d_1} \times \vec{d_2} = \begin{vmatrix} \mathbf{i} & \mathbf{j} & \mathbf{k} \\ 1 & -2 & 2 \\ -2 & 3 & -6 \end{vmatrix}\)…
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