NCERT Class 12 · Ch 10 Exercise 10.4 · Q12
NCERT Class 12 Maths · Chapter 10 Vector Algebra · Exercise 10.4 Question 12
Find the area of the rectangle with position vectors (−1,1/2,4),(1,1/2,4),(1,−1/2,4),(−1,−1/2,4).
💡 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: C: 2.
- Adjacent sides are AB=(2,0,0) and AD=(0,−1,0), perpendicular with lengths 2 and 1.
- Their product, or the cross-product magnitude, is 2 square units.
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