The vector equation of a line passing through the point with position vector 2i − j + 4k and in the direction of i + 2j − k is:

The vector equation of a line passing through the point with position vector 2i − j + 4k and in the direction of i + 2j − k is:

• A. r = (2i − j + 4k) + λ(i + 2j − k)
• B. r = (i + 2j − k) + λ(2i − j + 4k)
• C. r = (2i + j + 4k) + λ(i − 2j − k)
• D. r = (i − 2j + k) + λ(2i + j − 4k)

Answer: A) r = (2i − j + 4k) + λ(i + 2j − k)

Explanation: The equation is r = a + λb, where a is the fixed point (2i − j + 4k) and b is the parallel vector (i + 2j − k).