Mathematics · Three Dimensional Geometry
The vector equation of a line which passes through the point (2, 4, 5) and is parallel to the line x + 33 = 4 - y2 = z + 86 is:
- 1r⃗ = (-2î + 4ĵ - 5k̂) + λ(3î - 2ĵ - 6k̂)
- 2r⃗ = (2î - 4ĵ + 5k̂) + λ(3î + 2ĵ + 6k̂)
- 3r⃗ = (2î + 4ĵ + 5k̂) + λ(3î - 2ĵ + 6k̂)✓
- 4r⃗ = (-2î + 4ĵ - 5k̂) + λ(3î + 2ĵ + 6k̂)
Correct answer
r⃗ = (2î + 4ĵ + 5k̂) + λ(3î - 2ĵ + 6k̂)
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