Mathbee CBSE Mathbee · CBSE Class 12 Maths
NCERT Class 12 · Ch 10 Exercise 10.3 · Q12

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

If a·a=0 and a·b=0, what follows about b?

💡 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: No restriction on b.
  1. a·a=|a|²=0 implies a=0 in Euclidean vector space.
  2. Then a·b=0·b=0 for every b, so the second equation conveys no further information.

Master Chapter 10: Vector Algebra

Practise interactive questions, flashcards, visual mind maps, and timed board tests for Vector Algebra.
📘 Chapter Notes & All Exercises 🚀 Open Interactive Workspace →
← Previous Question
Show |a|b+|b|a is perpendicular to |a|b−|b|a for nonzero a,b.
Next Question →
Unit vectors a,b,c satisfy a+b+c=0. Find a·b+b·c+c·a.

All Questions in Vector Algebra — Exercise 10.3

Related Questions in Vector Algebra