CBSE Class 12 Mathematics 2026 Main Paper 65/3/3 · Q201 Marksvector_collinearity
CBSE Class 12 Mathematics 2026 Main Paper 65/3/3 · Question 20 (Vector Algebra)
Assertion: For a≠0 the vectors a and −2a are collinear. Reason: a·(−2a)=0.
✅ Step-by-Step Solution
Final Answer: The assertion is true and the reason is false.
- The vectors are scalar multiples and therefore collinear. Their dot product is −2|a|², which is nonzero.
Master Chapter 10: Vector Algebra
Practise interactive questions, flashcards, visual mind maps, and timed board tests for Vector Algebra.
← Previous Question
Assertion: \(e^x+e^{-y}=-2\) is a particular solution of…
Next Question →Find p if (x−3)/1=(1−y)/1=(z+2)/p and (2−x)/3=(y+1)/5=(z+56)/(2p)…
All Questions in CBSE Class 12 Mathematics 2026 Main Paper 65/3/3
Related Questions in Vector Algebra
Class 12 Vector Algebra · Mcq Single Correct
Find |a × b|² + (a · b)².
Class 12 Vector Algebra · Mcq Single Correct
Find the area of triangle OAB, where OA = (1,2,3) and OB = (−3,−2,1).
Class 12 Vector Algebra · Mcq Single Correct
For nonzero vectors a,b with angle θ ∈ [0,π], when is a · b ≥ 0?
Class 12 Vector Algebra · Mcq Single Correct
For a vector a, find (a · i)i + (a · j)j + (a · k)k.
Class 12 Vector Algebra · Mcq Single Correct
Which vector has magnitude 9 and the same direction as (1,−2,2)?
Class 12 Vector Algebra · Mcq Single Correct
Find the position vector dividing the segment from 2a − 3b to a + b internally in the ratio…