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Vector Algebra — NEET Maths MCQs

30 questions written by hand against the NCERT chapter. Every wrong option is explained, not just the right one.

30questions
10/14/6easy / medium / hard
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Sample questions from this chapter

A quantity with magnitude and direction is a
  1. vector ✓
  2. scalar
  3. tensor only
  4. coordinate
Answer: A. Vectors carry both magnitude and direction.
Why not B: Keeps magnitude but discards direction.
Why not C: Restricts the general idea to tensors unnecessarily.
Why not D: Confuses a coordinate representation with the quantity.
j×i equals
  1. k
  2. 0
  3. −k ✓
  4. j
Answer: C. Cross product reverses sign: j×i=−k.
Why not A: Assumes commutativity.
Why not B: Uses the dot product of distinct basis vectors.
Why not D: Returns the first vector.
Area of triangle A(1,1,2), B(2,3,5), C(1,5,5) is
  1. √61/2 ✓
  2. √61
  3. 61/2
  4. 5
Answer: A. AB=(1,2,3), AC=(0,4,3), AB×AC=(−6,−3,4), so area=√61/2.
Why not B: Forgets the triangle factor 1/2.
Why not C: Forgets the square root in the cross-product magnitude.
Why not D: Uses a convenient integer without computing the cross product.

These are 3 of the 30 questions in the test. Take the full chapter test →

Read the chapter first

Every NCERT question in this chapter is solved, free: NCERT solutions — Vector Algebra →

Other NEET Maths chapters

SetsRelations and FunctionsTrigonometric FunctionsComplex Numbers and Quadratic EquationsLinear InequalitiesPermutations and Combinations

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Questions

How many NEET questions are there on Vector Algebra?

This chapter test has 30 questions — 10 easy, 14 medium and 6 hard — all written against the NCERT Class 12 chapter.

Is this NEET Maths chapter test free?

Yes. Every chapter test is free with no login, and you get your all-India rank on every one. Nothing on the site is on sale right now.

Do the questions explain the wrong options?

Yes — every distractor carries its own explanation naming the specific misconception that makes a student pick it. That is the part most question banks skip, and it is the part that changes your next attempt.