NCERT Class 12 · Ch 10 Exercise 10.2 · Q18
NCERT Class 12 Maths · Chapter 10 Vector Algebra · Exercise 10.2 Question 18
In triangle ABC shown, which identity is not true?
💡 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: B.
- The triangle law gives AB+BC=AC. Therefore A,C and D reduce to the zero-vector identity.
- Since CB=−BC, option B is AB−BC−AC=−2BC, nonzero for a nondegenerate triangle.
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