Chapter 9: Vector Algebra
Standard NCERT & CBSE aligned study curriculum. Master concepts, track accuracy, revise weak areas, and challenge yourself with 9 customized practice modes.
Syllabus Sections
Print-Ready Math Worksheet
Generate and print a beautiful chapter worksheet complete with key equations, problems, and dedicated writing spaces.
Worksheet Details:
- • Title: Class XII Math: Vector Algebra Printable Sheet
- • Format: Print Optimized CSS stylesheet
- • Sections: Formulas checklist, 5 assessment questions, worked keys
NexPro Education Worksheet
Class XII Mathematics: Vector Algebra
Section I: Key Formulas
Section II: Answer the Questions
1. 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 ⃗ .
2. Find the vector of magnitude 6, which is perpendicular to both the vectors 2î - 2ĵ + 1k̂ and 4î - 3ĵ + 1k̂
3. Find | |x ⃗ if ( )( ) 12x a x a- + = ⃗ ⃗ ⃗ ⃗ , where a ⃗ is a unit vector.
4. If a⃗ = 5î - 7ĵ + k̂and ^ ^b i j k λ= - + ⃗ ^ , then find the value of ߣ so that the vectors a b+ ⃗ ⃗ and a b- ⃗ ⃗ are orthogonal.
5. If the vectors a ⃗ , b ⃗ and c ⃗ represent the three sides of a triangle, then show that a b b c c a× = × = × ⃗ ⃗ ⃗ ⃗ ⃗ ⃗