A line passes through (1,2,3) and has direction ratios 2, −1, 4. Its vector equation is:
A line passes through (1,2,3) and has direction ratios 2, −1, 4. Its vector equation is:
- A. r = (i+2j+3k) + λ(2i−j+4k)
- B. r = (2i−j+4k) + λ(i+2j+3k)
- C. r = λ(i+2j+3k)
- D. r = (i+2j+3k) + λ(i−2j+4k)
Answer: A) r = (i+2j+3k) + λ(2i−j+4k)
Explanation: Vector equation of line through point a with direction b is r=a+λb.
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