Which of the following represents the vector equation of a line passing through point with direction vector ?
Answer and explanation
Correct answer: A.
- Step 1: The vector equation of a line in 3D space is .
- Step 2: Substituting position vector and direction vector yields .
Answer
.
Why not the others: 'Option 1' swaps the point and direction vector; 'Option 2' mixes coordinates; 'Option 3' adds coordinates without parameterization.
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