Class 12 Vector Algebra · Short Answer2 Marksdot_product_angle
Class 12 Maths · Vector Algebra · Short Answer #109
Unit vectors a,b have √3a−b also unit. Find their angle.
✅ Step-by-Step Solution
Final Answer: π/6
- Square |√3a−b|=1.
- This gives 3+1−2√3cos θ=1, so cos θ=√3/2.
- Hence θ=π/6.
📋 CBSE Stepwise Marking Scheme
- [0.5 marks] Square |√3a−b|=1.
- [1 mark] This gives 3+1−2√3cos θ=1, so cos θ=√3/2.
- [0.5 marks] Hence θ=π/6.
Master Chapter 10: Vector Algebra
Practise interactive questions, flashcards, visual mind maps, and timed board tests for Vector Algebra.
← Previous Question
Find all vectors equally inclined to the three positive coordinate…
Next Question →Find |a| and |b| if |a|=2|b| and (a+b)·(a−b)=12.
More Practice Questions in Vector Algebra
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…