TS EAMCET · Maths · Vector Algebra
Let \(\mathbf{p}, \mathbf{q}, \mathbf{r}\) be three non-coplanar vectors and \(=\mathbf{p} \times \mathbf{q}\). If \(\mathbf{a}, \mathbf{b}, \mathbf{c}\) denote the coterminous edges of a parallelopiped, then its height with the base having \(\mathbf{a}\) and \(\mathbf{c}\) is
- A \(|\mathbf{p}|\)
- B \(\frac{1}{|\mathbf{a}|}\)
- C \(\frac{1}{|\mathbf{b}|}\)
- D \(\frac{1}{|\mathbf{q}|}\)
Answer & Solution
Correct Answer
(D) \(\frac{1}{|\mathbf{q}|}\)
Step-by-step Solution
Detailed explanation
(d) For three non-coplanar vector \(\mathbf{p}, \mathbf{q}\) and \(\mathbf{r}\), it is given that \(\left[\begin{array}{lll}\mathbf{p} & \mathbf{q} & \mathbf{r}\end{array}\right] \mathbf{a}=\mathbf{q} \times \mathbf{r}\)…
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