AP EAMCET · Maths · Three Dimensional Geometry
Let \(\mathbf{a}=\mathbf{i}+2 \mathbf{j}+\mathbf{k}, \mathbf{b}=\mathbf{i}-\mathbf{j}+\mathbf{k}, \mathbf{c}=\mathbf{i}+\mathbf{j}-\mathbf{k}\). A vector in the plane of \(\mathbf{a}\) and \(\mathbf{b}\) has projection \(\frac{1}{\sqrt{3}}\) on c. Then, one such vector is
- A \(4 \mathbf{i}+\mathbf{j}-4 \mathbf{k}\)
- B \(3 \mathbf{i}+\mathbf{j}-3 \mathbf{k}\)
- C \(4 \mathbf{i}-\mathbf{j}+4 \mathbf{k}\)
- D \(2 \mathbf{i}+\mathbf{j}+2 \mathbf{k}\)
Answer & Solution
Correct Answer
(D) \(2 \mathbf{i}+\mathbf{j}+2 \mathbf{k}\)
Step-by-step Solution
Detailed explanation
Since, vectors \(\mathbf{a}\) and \(\mathbf{b}\) are in a same plane.…
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