Vector form of line: r=a+λb, where a is position vector of point and b is direction vector.
a=−2i^+3j^+4k^, b=2i^−j^+k^.
So r=(−2i^+3j^+4k^)+λ(2i^−j^+k^).
The equation of the line passing through (-2, 3, 4) and parallel to the vector 2 i - j + k is:
CUET UG 2022 — Mathematics Algebra
2022mcqeasy
The equation of the line passing through (-2, 3, 4) and parallel to the vector 2i^−j^+k^ is:
Official previous-year question
Held on 4 Aug 2022 · Verified 13 Jul 2026.
Options
- A
r=(i^+j^+k^)+λ(2i^−j^+k^)
- B
r=(2i^−j^+k^)+λ(i^+j^+k^)
- C
r=(−2i^+3j^+4k^)+λ(2i^−j^+k^)
- D
r=(2i^−j^+k^)+λ(−2i^+3j^+4k^)
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