Vector equation of the line passing through the points (−1, 0, 2) and (3, 4, 6) is r = (−i + 2k) + λb. What is vector b? A. 4i + 4j + 4k B. 2i + 4j + 8k C. −4i − 4j − 4k D. 3i + 4j + 6k Answer: A) 4i + 4j + 4k Explanation: The vector b is the direction vector: (3 − (−1))i + (4 − 0)j + (6 − 2)k = 4i + 4j + 4k.

imo class 12 three dimensional geometry

Vector equation of the line passing through the points (−1, 0, 2) and (3, 4, 6) is r = (−i + 2k) + λb. What is vector b?

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Vector equation of the line passing through the points (−1, 0, 2) and (3, 4, 6) is r = (−i + 2k) + λb. What is vector b?

Answer: A) 4i + 4j + 4k

Explanation: The vector b is the direction vector: (3 − (−1))i + (4 − 0)j + (6 − 2)k = 4i + 4j + 4k.