AP EAMCET · Maths · Vector Algebra
If \(\mathbf{p} \times \mathbf{q}=\mathbf{p} \times \mathbf{r}\) and \(\mathbf{p} \cdot \mathbf{q}=\mathbf{p} \cdot \mathbf{r}\), then \(\ldots . . .\).
- A \(p=r\)
- B \(q=r\)
- C \(p=q\)
- D \(p+q=0\)
Answer & Solution
Correct Answer
(B) \(q=r\)
Step-by-step Solution
Detailed explanation
\(\mathbf{p} \times \mathbf{q}=\mathbf{p} \times \mathbf{r}\) \[ \begin{aligned} & \Rightarrow \quad \mathbf{p} \times(\mathbf{q}-\mathbf{r})=0 \\ & \text { p.q }=\text { p. } r \\ & \Rightarrow \quad \text { p. }(\mathbf{q}-\mathbf{r})=0 \\ & \end{aligned} \] From Eqs. (i) and…
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