AP EAMCET · Maths · Three Dimensional Geometry
The ratio in which \(\hat{\mathbf{i}}+2 \hat{\mathbf{j}}+3 \hat{\mathbf{k}}\) divides the join of \(-2 \hat{\mathbf{i}}+3 \hat{\mathbf{j}}+5 \hat{\mathbf{k}}\) and \(7 \hat{\mathbf{i}}-\hat{\mathbf{k}}\) is
- A \(2: 1\)
- B \(2: 3\)
- C \(3: 4\)
- D \(1: 4\)
Answer & Solution
Correct Answer
(A) \(2: 1\)
Step-by-step Solution
Detailed explanation
Let the line joining the points with position vectors \(-2 \hat{\mathbf{i}}+3 \hat{\mathbf{j}}+5 \hat{\mathbf{k}}\) and \(7 \hat{\mathbf{i}}-\hat{\mathbf{k}}\) be divide in the ratio \(\lambda: 1\) by \(\hat{\mathbf{i}}+2 \hat{\mathbf{j}}+3 \hat{\mathbf{k}}\).…
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