AP EAMCET · Maths · Vector Algebra
If \((\bar{i}+\bar{j}+\bar{k}),(\bar{i}+2 \bar{j}+3 \bar{k})\) and \((2 \bar{i}-\bar{j}+\bar{k})\) are the position vectors of the vertices A, \(\mathrm{B}\) and \(\mathrm{C}\) of \(\triangle \mathrm{ABC}\) respectively, then the vector equation of the altitude through \(\mathrm{A}\) is
- A \[
\bar{r}=\bar{i}+\bar{j}+\bar{k}+t(\bar{i}+2 \bar{j}+3 \bar{k})
\] - B \[
\bar{r}=\bar{i}+\bar{j}+\bar{k}+t(2 \bar{i}-\bar{j}+\bar{k})
\] - C \[
\bar{r}=\bar{i}+\bar{j}+\bar{k}+t(\bar{i}-\bar{j}+2 \bar{k})
\] - D \[
\bar{r}=\bar{i}+\bar{j}+\bar{k}+t(4 \vec{i}+2 \vec{j}+4 \bar{k})
\]
Answer & Solution
Correct Answer
(C) \[
\bar{r}=\bar{i}+\bar{j}+\bar{k}+t(\bar{i}-\bar{j}+2 \bar{k})
\]
Step-by-step Solution
Detailed explanation
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