NCERT Class 12 · Ch 11 Miscellaneous Exercise · Q2
NCERT Class 12 Maths · Chapter 11 Three Dimensional Geometry · Miscellaneous Exercise Question 2
Find a line parallel to the x-axis and passing through the origin.
💡 Concept Hints
- Identify the base point and a nonzero direction before applying a vector formula.
- Use dot products for angles, proportional directions for parallelism, and a triple product for skew-line distance.
✅ Step-by-Step Solution
Final Answer: r=t(1,0,0), t∈ℝ; Cartesian equations y=0,z=0.
- The required base point is the origin and the x-axis has direction (1,0,0).
- Thus r=(t,0,0); x is arbitrary, while y=z=0. Use fixed-coordinate equations, not division by zero.
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