AP EAMCET · Maths · Vector Algebra
If \(\bar{p}, \bar{q}, \bar{r}\) are three mutually perpendicular vectors of equal magnitude and if a vector \(\bar{x}\) satisfies the equation \(\bar{p} \times((\bar{x}-\bar{q}) \times \bar{p})+\bar{q} \times((\bar{x}-\bar{r}) \times \bar{q})+\bar{r} \times((\bar{x}-\bar{p}) \times \bar{r})=\bar{o}\) then \(\bar{x}\) is
- A \(\frac{1}{4}(\bar{p}-\bar{q}+\bar{r})\)
- B \(\frac{2}{3}(\bar{p}+\bar{q}-\bar{r})\)
- C \(\frac{3}{4}(\bar{p}+2 \bar{q}+\bar{r})\)
- D \(\frac{1}{2}(\bar{p}+\bar{q}+\bar{r})\)
Answer & Solution
Correct Answer
(D) \(\frac{1}{2}(\bar{p}+\bar{q}+\bar{r})\)
Step-by-step Solution
Detailed explanation
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