TS EAMCET · Maths · Vector Algebra
If \([\mathbf{a} \mathbf{b} \mathbf{c}]=3\), then the volume (in cubic units) of the parallelopiped with \(2 \mathbf{a}+\mathbf{b}, 2 \mathbf{b}+\mathbf{c}\) and \(2 \mathbf{c}+\mathbf{a}\) as edges, is
- A \(15\)
- B \(22\)
- C \(25\)
- D \(27\)
Answer & Solution
Correct Answer
(D) \(27\)
Step-by-step Solution
Detailed explanation
Given that, \(\text { [abc] }=3\) Volume of the parallelopiped \(=[2 \mathbf{a}+\mathbf{b} \mathbf{2} \mathbf{b}+\mathbf{c}+2 \mathbf{c}+\mathbf{a}]\)…
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