TS EAMCET · Maths · Vector Algebra
Let \(O A, O B, O C\) be the co-terminal edges of a rectangular parallelopiped of volume \(V\) and let \(P\) be the vertex opposite to \(O\). Then, \([\overrightarrow{\mathbf{A P}} \overrightarrow{\mathbf{B P}} \overrightarrow{\mathbf{C P}}]\) is equal to
- A \(2 \mathrm{~V}\)
- B \(12 \mathrm{~V}\)
- C \(3 \sqrt{3} \mathrm{~V}\)
- D 0
Answer & Solution
Correct Answer
(A) \(2 \mathrm{~V}\)
Step-by-step Solution
Detailed explanation
Here, \(O A, O B, O C\) are the co-terminal edges of a rectangular parallelopiped of volume \(V\). Also, we know that the volume of rectangular parallelopiped \(=[\overrightarrow{\mathbf{a}} \overrightarrow{\mathbf{b}} \overrightarrow{\mathbf{c}}]\) ie,…
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