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NCERT Class 12 · Ch 10 Exercise 10.3 · Q14

NCERT Class 12 Maths · Chapter 10 Vector Algebra · Exercise 10.3 Question 14

A zero factor gives a·b=0. Show the converse need not hold.

💡 Concept Hints

  1. Write the vector components and identify the required direction or geometric relation.
  2. Use the magnitude, dot-product, cross-product or section formula that matches the requested quantity.

✅ Step-by-Step Solution

Final Answer: For example i·j=0 with both vectors nonzero.
  1. A dot product with the zero vector is zero by its component formula.
  2. For i=(1,0,0), j=(0,1,0), the dot product is 0, although neither vector is zero.

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