Class 12 Vector Algebra · Long Answer3 Markscross_product_area
Class 12 Maths · Vector Algebra · Long Answer #119
Find the area of triangle A=(1,2,3), B=(2,−1,4), C=(4,5,−1).
✅ Step-by-Step Solution
Final Answer: √274/2 square units
- Compute AB=(1,−3,1) and AC=(3,3,−4).
- Their cross product is (9,7,12).
- Its norm is √(81+49+144)=√274.
- The triangle area is half: √274/2 square units.
📋 CBSE Stepwise Marking Scheme
- [0.5 marks] Compute AB=(1,−3,1) and AC=(3,3,−4).
- [1 mark] Their cross product is (9,7,12).
- [1 mark] Its norm is √(81+49+144)=√274.
- [0.5 marks] The triangle area is half: √274/2 square units.
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