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

• 0 A
• 1 B
• 
  C
• 
  D

Which of the following represents a vector

• 
  A
• 
  B
• 
  C
• (x, y) 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
• 0 C
• 1 D

Which of the following is a vector.

• energy A
• force B
• work C
• power D

If |a x b|2 + (a,b)2 = _____

• |a|2 + |b|2 A
• |a|2- |b|2 B
• |a|2|b|2 C
• None D

3j . k x i

• 0 A
• 1 B
• 3 C
• 9 D

The magnitude of a vector can never be

• Zero A
• Negative B
• Positive C
• None of these D

Which of the following us a scalar

• displacement A
• velocity B
• acceleration C
• density D

The number z so that the triangle with vertices A(1,-1,0),B(-2,2,1)and C(0,2,z) is a right triangle with right angle at vertex C

• 1,2 A
• -1,-2 B
• 2,-1 C
• -2,1 D

• Free vector A
• Null vector B
• Unit vector C
• None of these D

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• none of these D

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

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

If Projvu = Projuv, then

• Uand vare parallel A
• |u|=|v| B
• Uandvre perpendicular C
• One ofuorv D

• 
  A
• 
  B
• 
  C
• none of these D

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

The unit vector along y-axis is

• 
  A
• 
  B
• 
  C
• none of these D

Which of the following is a scalar.

• force A
• frequency B
• weight C
• acceleration D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

Which of the following is not a unit vector

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

• 
  A
• 
  B
• 
  C
• none of these D

• 0 A
• 1 B
• -1 C
• None D

• a₁+ a₂ A
• a²₁+ a²₂ B
• 
  C
• 
  D

The position vector of any point in space is

• 
  A
• 
  B
• 
  C
• 
  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

• 
  A
• 
  B
• 
  C
• 
  D

The unit vector along z-axis is

• 
  A
• 
  B
• 
  C
• none of these D