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Vector Algebra — Practice Questions

CUSAT CAT · Mathematics

Free Vector Algebra practice questions for CUSAT CAT Mathematics 2026 — chapter-wise MCQs with answers and detailed solutions.

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A comparison chart illustrating the key differences between scalar and vector quantities, providing examples for each.
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Practice Questions — Vector Algebra

485 questions available from Vector Algebra for CUSAT CAT Mathematics.

Question Types

multiple choicenumerical

Sample Questions

1multiple choice1 marks

If vectors a⃗ = 3î + 2ĵ - k̂ and b⃗ = î - 4ĵ + 2k̂, find the magnitude of vector (a⃗ + b⃗).

2multiple choice1 marks

Find the dot product of vectors a⃗ = 2î + 3ĵ + k̂ and b⃗ = î - 2ĵ + 3k̂.

3multiple choice1 marks

If |a⃗| = 4, |b⃗| = 3, and the angle between a⃗ and b⃗ is 60°, find a⃗ · b⃗.

4multiple choice1 marks

Find the unit vector in the direction of a⃗ = 12î - 5k̂.

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Frequently Asked Questions

What topics are covered in Vector Algebra for CUSAT CAT?
Vector Algebra is an important chapter in CUSAT CAT Mathematics. It covers key concepts and formulas that are frequently tested in the exam. Key topics include: Basic Vector Concepts and Operations, Scalar (Dot) Product of Vectors, Vector (Cross) Product of Vectors, Scalar Triple Product and Vector Triple Product.
How important is Vector Algebra for CUSAT CAT?
Vector Algebra is a frequently tested chapter in CUSAT CAT Mathematics. Questions from this chapter appear regularly in previous year papers. There are 485 practice questions available for this chapter.
How to prepare Vector Algebra for CUSAT CAT?
Start by understanding the core concepts, then solve practice questions. Focus on formulas and their applications. Use revision notes for quick review before the exam.

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