How many MCQ questions are available for Vector Algebra?

There are 81 MCQ questions available for Vector Algebra (Class 12 Mathematics) — 31 easy, 26 medium, and 24 hard.

Vector Algebra

Q: What topics are covered in Vector Algebra?

Key concepts covered: addition of vectors, collinear vectors, coplanar vectors, direction cosines, parallelogram law, position vector, projection of a vector, scalar (dot) product, scalar multiplication, scalars and vectors, section formula, triangle law, types of vectors, unit vector, vector (cross) product.

Class 12 · Mathematics

81 questions31 easy26 medium24 hard

Sample Questions

Q1.Two or more vectors having the same initial point are called:

ACollinear vectors
BCoinitial vectors
CEqual vectors
DZero vectors

Q2.The unit vector in the direction of a = 3i + 4j is:

A(3i + 4j)/5
B(3i + 4j)/7
C(3i - 4j)/5
D3i + 4j

Q3.Given a x b = c x d and a x c = b x d, which of the following is true?

A(a - d) || (b + c)
B(a - d) || (b - c)
C(a + d) || (b - c)
D(a + d) || (b + c)

Q4.The position vector of the midpoint of AB where A has position vector a and B has position vector b is:

A(a + b)
B(a + b)/2
C(b - a)/2
D2(a + b)

Q5.If a = 2i + 2j + 3k, b = -i + 2j + k, and c = 3i + j are such that a + lambda*b is perpendicular to c, then lambda =

Q6.This is a sample question to preview what you'll get in the full practice test...

A. Option one
B. Option two
C. Option three
D. Option four

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Concepts Covered

addition of vectorscollinear vectorscoplanar vectorsdirection cosinesparallelogram lawposition vectorprojection of a vectorscalar (dot) productscalar multiplicationscalars and vectorssection formulatriangle lawtypes of vectorsunit vectorvector (cross) product

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