NCERT Class 12 · Ch 10 Exercise 10.3 · Q2
NCERT Class 12 Maths · Chapter 10 Vector Algebra · Exercise 10.3 Question 2
Find the angle between i−2j+3k and 3i−2j+k.
💡 Concept Hints
- Write the vector components and identify the required direction or geometric relation.
- Use the magnitude, dot-product, cross-product or section formula that matches the requested quantity.
✅ Step-by-Step Solution
Final Answer: \(\operatorname{acos}{\left(\frac{5}{7} \right)}\)
- a·b=3+4+3=10; each magnitude is √14.
- Thus cos θ=10/14=5/7 and θ=cos⁻¹(5/7).
Master Chapter 10: Vector Algebra
Practise interactive questions, flashcards, visual mind maps, and timed board tests for Vector Algebra.
← Previous Question
Find the angle for |a|=√3, |b|=2 and a·b=√6.
Next Question →Find the projection of…
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…