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CBSE  /  Class 12  /  Maths  /  Vector Algebra

  • 1. 
    If →a = ˆi + ˆj + ˆk, →b = 2ˆi – 4ˆk, →c =ˆi + λˆj + 3ˆj are coplanar, then the value of λ is

  • 52
  • 35
  • 73
  • –53

  • 2. 
    The vectors →a = xˆi – 2ˆj + 5ˆk and →b = ˆi + yˆj – zˆk are collinear, if

  • x = 1, y = -2, z = -5
  • x = 32, y = -4, z = -10
  • x = 32, y = 4, z = 10
  • All of these

  • 3. 
    The vectors (x, x + 1, x + 2), (x + 3, x + 4, x + 5) and (x + 6, x + 7, x + 8) are coplanar for

  • all values of x
  • x < 0
  • x ≤ 0
  • None of these

  • 4. 
    The vectors →AB = 3ˆi +4ˆk and →AC = 5ˆi – 2ˆj + 4ˆk are the sides of ΔABC. The length of the median through A is

  • √18
  • √72
  • √33
  • √288

  • 5. 
    The summation of two unit vectors is a third unit vector, then the modulus of the difference of the unit vector is

  • √3
  • 1 – √3
  • 1 + √3
  • -√3
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