TS EAMCET · Maths · Three Dimensional Geometry
\(P, Q, R\) and \(S\) are four points with the position vectors \(3 \mathbf{i}-4 \mathbf{j}+5 \mathbf{k},-4 \mathbf{i}+5 \mathbf{j}+\mathbf{k}\) and \(-3 \mathbf{i}+4 \mathbf{j}+3 \mathbf{k}\), respectively. Then, the line \(P Q\) meets the line \(R S\) at the point
- A \(3 \mathbf{i}+4 \mathbf{j}+3 \mathbf{k}\)
- B \(-3 \mathbf{i}+4 \mathbf{j}+3 \mathbf{k}\)
- C \(-\mathbf{i}+4 \mathbf{j}+\mathbf{k}\)
- D \(\mathbf{i}+\mathbf{j}+\mathbf{k}\)
Answer & Solution
Correct Answer
(B) \(-3 \mathbf{i}+4 \mathbf{j}+3 \mathbf{k}\)
Step-by-step Solution
Detailed explanation
Let the coordinates of four points \(P, Q, R\) and \(S\) be \((3,-4,5), \quad(0,0,4), \quad(-4,5,1) \quad\) and \(\quad(-3,4,3)\) respectively. Now, equation of line \(P Q\) is…
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