Class 12 Vector Algebra · Short Answer2 Marksorthogonality
Class 12 Maths · Vector Algebra · Short Answer #61
Nonzero vectors a,b,c satisfy b ≠ c and a · b = a · c. Find the angle between a and b − c.
✅ Step-by-Step Solution
Final Answer: π/2.
- By distributivity, a · (b − c) = a · b − a · c.
- The given equality makes this dot product zero. Both a and b − c are nonzero.
- Therefore the angle is π/2.
📋 CBSE Stepwise Marking Scheme
- [0.5 marks] By distributivity, a · (b − c) = a · b − a · c.
- [1 mark] The given equality makes this dot product zero. Both a and b − c are nonzero.
- [0.5 marks] Therefore the angle is π/2.
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