NCERT Class 12 · Ch 10 Miscellaneous Exercise · Q18
NCERT Class 12 Maths · Chapter 10 Vector Algebra · Miscellaneous Exercise Question 18
Evaluate i·(j×k)+j·(i×k)+k·(i×j).
💡 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: 1.
- Use j×k=i, i×k=−j and i×j=k.
- The scalar sum is i·i+j·(−j)+k·k=1−1+1=1.
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