ECAT Pre Engineering Mathematic MCQ Test With Answer for Chapter 24 (Vectors)

• 
  A
• 
  B
• 
  C
• 
  D

[i,j,k]

• 0 A
• 2 B
• 1 C
• -2 D

• 
  A
• 
  B
• 
  C
• none of these D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

Which of the following does not represent absolute value of a vector

• magnitude A
• length B
• norm C
• number D

3j . k x i

• 0 A
• 1 B
• 3 C
• 9 D

Projection of vector u along v is

• |v| cosθ A
• |u| cosθ B
• |v| sinθ C
• |u| sinθ D

• 
  A
• 
  B
• 
  C
• 
  D

• 12 A
• 6 B
• 8 C
• none of these D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• none of these D

If a,b c are sides of a triangle taken in order then a x b =

• b x c A
• b x a B
• cxa C
• Both a & b D

• 
  A
• 
  B
• 
  C
• 
  D

If a2 = b2 then

• a = b A
• a+b= 1 B
• |a+b| =0 C
• None D

If 2 and 2 are x and y components of vector then its angle with x-axis is

• 30° A
• 45° B
• 60° C
• 90° D

• [0, 0, 0] A
• [1, 0, 0] B
• [0, 1, 0] C
• [0, 0, 1] D

• 
  A
• 
  B
• 0 C
• 1 D

A vector with magnitude one is called

• constant vector A
• unit vector B
• zero vector C
• null vector D

If the vector 2i + 4j - 7k and 2i + 6j + xk are perpendicular then x = ?

• 0 A
• 2 B
• 4 C
• 7 D

• direction ratios A
• direction cosines B
• direction angles C
• none of these D

If a force F = 2i + j +3k acts at point (1,-2,2) of a body then the moment of F about a pint lying on the line of action of the force is

• 5 A
• Equal to the moment of the force about origin B
• 0 C
• Cannot be found D

The unit vector along x-axis is

• 
  A
• 
  B
• 
  C
• none of these D

• [0, 0, 0] A
• [1, 0, 0] B
• [0, 1, 0] C
• [0, 0, 1] D

• a₁+ a₂ A
• a²₁+ a²₂ B
• 
  C
• 
  D

If the angle between two vectors with magnitude 6 and 2 is 60° when their scalar product is

• 12 A
• 6 B
• 3 C
• 0 D

• direction ratios A
• direction cosines B
• direction angles C
• none of these D

The position vector of a point (x, y) in xy plane is

• 
  A
• 
  B
• 
  C
• none of these D

• 
  A
• 
  B
• 
  C
• none of these D

• 
  A
• 
  B
• 
  C
• 
  D