AP EAMCET · Maths · Three Dimensional Geometry
The cartesian equation of the plane passing through the point \((3,-2,-1)\) and parallel to the vectors \(\mathbf{b}=\hat{\mathbf{i}}-2 \hat{\mathbf{j}}+4 \hat{\mathbf{k}}\) and \(\mathbf{c}=3 \hat{\mathbf{i}}+2 \hat{\mathbf{j}}-5 \hat{\mathbf{k}}\) is
- A (a) \(2 x-17 y-8 z+63=0\)
- B \(3 x+17 y+8 z-36=0\)
- C \(2 x+17 y+8 z+36=0\)
- D \(3 x-16 y+8 z-63=0\)
Answer & Solution
Correct Answer
(C) \(2 x+17 y+8 z+36=0\)
Step-by-step Solution
Detailed explanation
Vector b and c are given as, \(\mathrm{b}=\hat{\mathrm{i}}-2 \hat{\mathrm{j}}+4 \hat{\mathrm{k}}\) and \(c=3 \hat{i}+2 \hat{j}-5 \hat{k}\) Cartesian equation of plane passing through the point \((3,-2,-1)\)…
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