Three Dimensional Geometry
NCERT Class 12
CBSE
Grade 12
Question:
Show that the line through points $(1, -1, 2), (3, 4, -2)$ is perpendicular to the line through points $(0, 3, 2), (3, 5, 6)$.
Step-by-Step Solution
Line 1 DRs: $(2, 5, -4)$, Line 2 DRs: $(3, 2, 4)$. [1.0 Mark]
$2(3) + 5(2) + (-4)(4) = 6 + 10 - 16 = 0$. Proved. [1.0 Mark]
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🎯 Official CBSE Marking Scheme:
Calculating direction ratios for both lines: 1.0 Mark
Verifying perpendicularity condition: 1.0 Mark
Correct Answer:
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