ECAT Pre Engineering MCQ Test With Answer for Chapter 24 Mathematics

The unit vector along z-axis is

• 
  A
• 
  B
• 
  C
• none of these D

• 0 A
• 1 B
• -1 C
• None D

• 
  A
• 
  B
• 
  C
• none of these D

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

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 vector of magnitude zero is called

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

• 25 A
• 16 B
• 5 C
• 0 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

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

• 
  A
• 
  B
• 
  C
• none of these D

The unit vector along y-axis is

• 
  A
• 
  B
• 
  C
• none of these 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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

If uv= Projuv then

• Uandvare parallel A
• vis a unit vector B
• Uis a unit vector C
• Both b and c D

• 
  A
• 
  B
• 
  C
• 
  D

Which of the following is a vector.

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

Unit vector in the positive direction of x-axis is

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• none of these D

If θ be angle between u,v and u,v determine the sides of a triangle then the third side opposite to angle θ has length

• |u+v| A
• |u|+|v| B
• |u-v| C
• |u|-|v| D

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

A vector with magnitude one is called

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

• 
  A
• 
  B
• 1 C
• 0 D

• 
  A
• 
  B
• 
  C
• none of these D

• 
  A
• 
  B
• 0 C
• 1 D

• 
  A
• 
  B
• 
  C
• 
  D

Which of the following us a scalar

• displacement A
• velocity B
• acceleration C
• density 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