TS EAMCET · Maths · Three Dimensional Geometry
If L is a line common to the planes \(3 x+4 y+7 z=1, x-y+z=5\) then the direction ratios of the line L are
- A \((16,0,-1)\)
- B \((11,4,-7)\)
- C \((2,5,1)\)
- D \((4,-7,11)\)
Answer & Solution
Correct Answer
(B) \((11,4,-7)\)
Step-by-step Solution
Detailed explanation
\(\vec{n_1} = (3, 4, 7)\), \(\vec{n_2} = (1, -1, 1)\) \(\vec{d} = \vec{n_1} \times \vec{n_2} = \begin{vmatrix} \mathbf{i} & \mathbf{j} & \mathbf{k} \\ 3 & 4 & 7 \\ 1 & -1 & 1 \end{vmatrix}\)…
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