Vector Algebra

Class 12 · Mathematics

81 questions31 easy26 medium24 hard

Sample Questions

Q1.The position vector of a point P(3, 4, 0) with respect to the origin has magnitude:

  • A5
  • B7
  • C25
  • D12

Q2.If a = i + 2j - 3k and b = 3i - j + 2k, then (a + b) . (a - b) =

  • A0
  • B-1
  • C14
  • D-14

Q3.If a, b, c are mutually perpendicular unit vectors, then |a + b + c| =

  • A1
  • Bsqrt(2)
  • Csqrt(3)
  • D3

Q4.The work done by force F = 3i + j - 2k in moving an object along the line from A(1,1,0) to B(2,3,-1) is:

  • A7
  • B6
  • C5
  • D3

Q5.A quantity that has magnitude as well as direction is called a:

  • AScalar
  • BVector
  • CTensor
  • DMatrix

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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