Class 12 Math: Vector Algebra Important Exam Questions

NexPro Tools Mathematics TeamJune 5, 20266 min read

Preparing for school exams or final CBSE boards requires practicing questions patterned after official grading schemes. We have compiled a list of crucial questions for Class 12 Vector Algebra to help you test your mastery.

Exam-Pattern Questions and Answers

Question 1 (EASY)

Projection of vector 2î + 3ĵ on the vector 3î - 2ĵ is:
  • Option 1: 0
  • Option 2: 12
  • Option 3: 12 13
  • Option 4: 12 13 -

Solution Explanation & Steps: (a) 0

Question 2 (EASY)

The value of such that the vectors and = are orthogonal is
  • Option 1: 0
  • Option 2: 1
  • Option 3:
  • Option 4: -

Solution Explanation & Steps: (d) -

Question 3 (MEDIUM)

If ,a b ⃗ ⃗ and c ⃗ are three non-zero unequal vectors such that . .a b a c= ⃗ ⃗ ⃗ ⃗ , then find the angle between a ⃗ and b ⃗ .

This is a descriptive problem. Work out all steps on paper before checking the solution.

Solution Explanation & Steps: . . . . 0 .( ) 0a b a c a b a c a b c= ⇒ - = ⇒ - = ⃗ ⃗ ⃗ ⃗ ⃗ ⃗ ⃗ ⃗ ⃗ ⃗ ⃗ 0; ( )a b c or a b c⇒ = = ^ - ⃗ ⃗ ⃗ ⃗ ⃗ ⃗ ⃗ As, 0;a b c≠ ≠ ⃗ ⃗ ⃗ ⃗ ∴ the angle between a ⃗ and b c- ⃗ ⃗ is 2 π SECTION - C Questions 26 to 31 carry 3 marks each.

Grading Step-Marking Guidelines

Remember that teachers award partial marks for writing down formulas, stating the given variables, and drawing diagrams. Never leave a question blank on an exam. Write down the relevant formulas and initial substitution steps to secure partial credits.

📚 Class 12 Math Resource Hub for Vector Algebra: • 🧮 Interactive Solver: Solve Vector Algebra Problems - Verify steps in real-time. • 📝 Timed Practice Quiz: Take Vector Algebra Online Quiz - Test your speed and concepts. • 📄 Printable Worksheet: Download Vector Algebra PDF Worksheet - Interactive problems with answers. • 📐 Formula Sheet: View Vector Algebra Key Equations - Complete revision references. • 🔄 Next Topic Guide: Three Dimensional Geometry Study Notes • 🎓 Syllabus Overview: Class 12 Mathematics Portal - Access all chapter guides.