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…

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
  1. $$ \bar{r}=\bar{i}+\bar{j}+\bar{k}+t(\bar{i}+2 \bar{j}+3 \bar{k}) $$
  2. $$ \bar{r}=\bar{i}+\bar{j}+\bar{k}+t(2 \bar{i}-\bar{j}+\bar{k}) $$
  3. $$ \bar{r}=\bar{i}+\bar{j}+\bar{k}+t(\bar{i}-\bar{j}+2 \bar{k}) $$
  4. $$ \bar{r}=\bar{i}+\bar{j}+\bar{k}+t(4 \vec{i}+2 \vec{j}+4 \bar{k}) $$

Solution

No solution. Refer to answer key.

Asked in: AP EAMCET 2018 (24 Apr Shift 2)

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