TS EAMCET · Maths · Three Dimensional Geometry
The position vector of the point of intersection of the line joining the points \(2 \hat{i}-\hat{j}+6 \hat{k}, 3 \hat{i}-\hat{j}-7 \hat{k}\) and the line joining the points \(2 \hat{i}+\hat{j}-6 \hat{k}, 3 \hat{i}-\hat{j}-7 \hat{k}\) is
- A \(\hat{i}-3 \hat{j}+4 \hat{k}\)
- B \(4 \hat{i}-3 \hat{j}-8 \hat{k}\)
- C \(\hat{i}+3 \hat{j}-5 \hat{k}\)
- D \(\hat{i}+\hat{j}-2 \hat{k}\)
Answer & Solution
Correct Answer
(C) \(\hat{i}+3 \hat{j}-5 \hat{k}\)
Step-by-step Solution
Detailed explanation
Line joining \(\hat{i}-\hat{j}+\hat{k}\) and \(\hat{i}+\hat{j}-2 \hat{k}\) is \(\vec{r}=(\hat{i}-\hat{j}+\hat{k})+\lambda(2 \hat{j}-3 \hat{k})\)...(i) Line joining \(2 \hat{i}+\hat{j}-6 \hat{k}\) and \(3 \hat{i}-\hat{j}-7 \hat{k}\) is…
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