Find the vector equation of the straight line passing through and parallel to vector .

Answer and explanation

Correct answer: A.

  1. Step 1: The vector equation of a line is .
  2. Step 2: Here position vector and direction vector .
  3. Step 3: Therefore .
Answer
\vec{r} = (1, -2, 3) + t(2, 1, -1).
Why not the others: '' swaps the fixed point and direction vector; '' uses an incorrect direction vector; '' adds the vectors together.

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