NCERT Example 6 - Three Dimensional Geometry

Question: Find the vector and the Cartesian equations of the line through the point (5, 2, −4) and parallel to the vector 3î + 2ĵ − 8k̂.

Answer: Vector: r⃗ = (5î + 2ĵ − 4k̂) + λ(3î + 2ĵ − 8k̂). Cartesian: (x−5)/3 = (y−2)/2 = (z+4)/(−8).

Full step-by-step NCERT solution with diagrams on Something by Zero.

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