If \overline{a} is a vector such that \overline{a} \times \overline{i}=\overline{j}+\overline{k} and \overline{a} \cdot \overline{i}=1, then equation of the line passing through the point \overline{i}+\overline{j}+\overline{k} and parallel to \overrightarrow{a} is [TG EAPCET 12 May 2023 Shift 1]

Correct Answer is : r=(t+1)i+(1−t)j+(t+1)k

\overline{r}=(t+1) \overline{i}+(1-t) \overline{j}+(t+1) \overline{k}

\overline{r}=(t+1) \overline{i}-(2 t-1) \overline{j}+t \overline{k}

\overline{r}=\overline{i}+t \overline{j}-t \overline{k}

\overline{r}=5 t \overline{i}+7 t \overline{j}+\overline{k}

TS EAMCET Engineering 12 May 2023 Shift 1 Solved Paper

Section: Mathematics

Question : 31 of 160

Marks: +1, -0

If a is a vector such that a×i=j+k and a⋅i=1, then equation of the line passing through the point i+j+k and parallel to

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[TG EAPCET 12 May 2023 Shift 1]

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