Class 12 Vector Algebra · Short Answer2 Marksvector_identities
Class 12 Maths · Vector Algebra · Short Answer #105
Evaluate a×(b+c)+b×(c+a)+c×(a+b).
✅ Step-by-Step Solution
Final Answer: 0
- Expand using distributivity.
- The sum becomes a×b+a×c+b×c+b×a+c×a+c×b; opposite-order pairs cancel by antisymmetry.
- Therefore the vector expression is zero.
📋 CBSE Stepwise Marking Scheme
- [0.5 marks] Expand using distributivity.
- [1 mark] The sum becomes a×b+a×c+b×c+b×a+c×a+c×b; opposite-order pairs cancel by antisymmetry.
- [0.5 marks] Therefore the vector expression is zero.
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