AP EAMCET · Maths · Three Dimensional Geometry
If the line joining the points \((k, 2,3)\) and \((1,1,2)\) is parallel to the line joining the points \((5,4,-1)\) and \((3,2,-3)\), then the value of \(k\) is equal to
- A 1
- B 2
- C -2
- D 3
Answer & Solution
Correct Answer
(B) 2
Step-by-step Solution
Detailed explanation
Vector joining the points \((k, 2,3)\) and \((1,1,2)\) is \[ \begin{aligned} (k-1) \hat{\mathbf{i}}+(2 & -1) \hat{\mathbf{j}}+(3-2) \hat{\mathbf{k}} \\ = & (k-1) \hat{\mathbf{i}}+\hat{\mathbf{j}}+\hat{\mathbf{k}}...(i) \end{aligned} \] and vector joining the two points…
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