Class 12 Three Dimensional Geometry · Short Answer2 Marksorthogonal_directions
Class 12 Maths · Three Dimensional Geometry · Short Answer #33
Find p for which directions (−2,3p,4) and (4p,2,−7) are orthogonal.
✅ Step-by-Step Solution
Final Answer: p=−14.
- Orthogonal nonzero directions have zero dot product.
- −8p+6p−28=0, so −2p=28.
- Thus p=−14.
📋 CBSE Stepwise Marking Scheme
- [0.5 marks] Orthogonal nonzero directions have zero dot product.
- [1 mark] −8p+6p−28=0, so −2p=28.
- [0.5 marks] Thus p=−14.
Master Chapter 11: Three Dimensional Geometry
Practise interactive questions, flashcards, visual mind maps, and timed board tests for Three Dimensional Geometry.
← Previous Question
Find direction cosines of the line through (1,3,5),(2,4,6).
Next Question →Find vector and Cartesian equations through (1,2,−1) parallel to…
More Practice Questions in Three Dimensional Geometry
Related Questions in Three Dimensional Geometry
Class 12 Three Dimensional Geometry · Mcq Single Correct
Find the foot of the perpendicular from (2,−3,4) to the y-axis.
Class 12 Three Dimensional Geometry · Mcq Single Correct
A line makes angles α,β,γ with the positive coordinate axes. Find cos 2α+cos 2β+cos 2γ.
Class 12 Three Dimensional Geometry · Mcq Single Correct
Find the distance of (α,β,γ) from the y-axis.
Class 12 Three Dimensional Geometry · Mcq Single Correct
Find direction cosines of (x−1)/2=(1−y)/3=(2z−1)/12.
Class 12 Three Dimensional Geometry · Mcq Single Correct
Find the acute angle between two distinct body diagonals of a cube.
Class 12 Three Dimensional Geometry · Mcq Single Correct
A line makes angles θ₁,θ₂,θ₃,θ₄ with the four body diagonals of a cube. Find Σ cos²θᵢ.