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⚡ Important Qs📅 PYQs📖 NCERT Solutions

Vector Algebra - Important Questions

🏆 Daily Math Board Challenge (2026 Edition)
Check whether (x + 1)² = 2(x − 3) is a quadratic equation.
🎯 Chapter Readiness Score35%
⏱️ Est. Revision Time: 15 Mins • Press Ctrl+K to Search
⚡ Key Formulas at a Glance
Formula (Hover/Click)
Dot Product
&aarr; · &barr; = |&aarr;||&barr;| cosθ ⇒ &aarr; ⊥ &barr; ↔ &aarr; · &barr; = 0
Formula (Hover/Click)
Cross Product
|&aarr; × &barr;| = |&aarr;||&barr;| sinθ ⇒ Area of Parallelogram = |&aarr; × &barr;|
Formula (Hover/Click)
Unit Vector
&ahat; = &aarr; / |&aarr;|
Formula (Hover/Click)
Projection of Vector
Projection of &aarr; on &barr; = (&aarr; · &barr;) / |&barr;|
Formula (Hover/Click)
Vector Area of Triangle
Area = ½ |&aarr; × &barr;|
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Board Exam 20244 Marks
State the fundamental principles and key formulas for Vector Algebra, and solve a standard 4-mark examination question.
▶ Show Detailed Solution
1. Write down all given parameters and state applicable definitions.
2. Substitute into the master formula for Vector Algebra.
3. Evaluate step-by-step to obtain final answer.