AP EAMCET · Maths · Vector Algebra
Let \(\bar{a}=2 \bar{i}+3 \bar{j}+\bar{k}, \bar{b}=4 \bar{i}+\bar{j}, \bar{c}=\bar{i}-3 \bar{j}-7 \bar{k}\).
If \(\bar{r}=x \bar{i}+y \bar{j}+z \bar{k}, \bar{r} \cdot \bar{a}=9, \bar{r} \cdot \bar{b}=7, \bar{r} \cdot \bar{c}=6\) then \((x, y, z)=\)
- A \((1,-3,2)\)
- B \((-1,3,-2)\)
- C \((1,3,2)\)
- D \((1,3,-2)\)
Answer & Solution
Correct Answer
(D) \((1,3,-2)\)
Step-by-step Solution
Detailed explanation
Given \(\overrightarrow{\mathrm{a}}=2 \hat{\mathrm{i}}+3 \hat{\mathrm{j}}+\hat{\mathrm{k}}, \overrightarrow{\mathrm{b}}=4 \hat{\mathrm{i}}+\hat{\mathrm{j}}, \overrightarrow{\mathrm{c}}=\hat{\mathrm{i}}-7 \hat{\mathrm{k}}\) Here, \(\vec{r} \cdot \vec{a}=9\). and…
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