AP EAMCET · Maths · Vector Algebra
If \(\hat{i}-\hat{j}-\hat{k}, \hat{i}+\hat{j}+\hat{k}, \hat{i}+\hat{j}+2 \hat{k}\) and \(2 \hat{i}+\hat{j}\) are the vertices of a tetrahedron then its volume is
- A \(\frac{1}{6}\)
- B \(\frac{2}{3}\)
- C \(3\)
- D \(\frac{1}{3}\)
Answer & Solution
Correct Answer
(D) \(\frac{1}{3}\)
Step-by-step Solution
Detailed explanation
Given vertices are \(\overrightarrow{\mathrm{P}}=\hat{i}-\hat{j}-\hat{k}, \overrightarrow{\mathrm{Q}}=\hat{i}+\hat{j}+\hat{k}\)…
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