Class 12 Three Dimensional Geometry · Short Answer2 Marksparallel_lines
Class 12 Maths · Three Dimensional Geometry · Short Answer #38
Show that the lines through (4,7,8),(2,3,4) and through (−1,−2,1),(1,2,5) are parallel.
✅ Step-by-Step Solution
Final Answer: The lines are parallel.
- Subtract endpoints to obtain direction vectors.
- The directions are (−2,−4,−4) and (2,4,4), negatives of one another.
- Thus the lines are parallel.
📋 CBSE Stepwise Marking Scheme
- [0.5 marks] Subtract endpoints to obtain direction vectors.
- [1 mark] The directions are (−2,−4,−4) and (2,4,4), negatives of one another.
- [0.5 marks] Thus the lines are parallel.
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