NCERT Exercise 11.2 Q5 - Three Dimensional Geometry
Question: Find the equation of the line in vector and in Cartesian form that passes through the point with position vector 2î − ĵ + 4k̂ and is in the direction î + 2ĵ − k̂.
Answer: Vector: r⃗ = (2î − ĵ + 4k̂) + λ(î + 2ĵ − k̂). Cartesian: (x−2)/1 = (y+1)/2 = (z−4)/(−1).
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