ECAT Pre Engineering MCQ Test With Answer for Chapter 24 Mathematics

• 0 A
• 1 B
• 
  C
• 
  D

The direction cosines of y-axis are

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

u,v,wand u x (v.w) are

• Equal A
• Parallel B
• Additive immense of each other C
• Meaningless D

• 
  A
• 
  B
• 
  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 position vector of the point P(a, b, c) is

• 
  A
• 
  B
• 
  C
• 
  D

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

Which of the following is a scalar.

• electric field A
• magnetic field B
• weight C
• mass D

The unit vector along z-axis is

• 
  A
• 
  B
• 
  C
• none of these D

• A A
• 0 B
• Unit vector C
• None D

• 
  A
• 
  B
• 
  C
• 
  D

For two vector a and b, a+b = _______

• a b A
• b+a B
• b-a C
• None D

• 
  A
• 
  B
• 
  C
• none of these D

The zero vector is

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

The null vector is regarded to be perpendicular to

• Every vector A
• In some cases B
• Both a b C
• None D

Which of the vectors have opposite direction?

• 
  A
• 
  B
• 
  C
• 
  D

Which of the following is a scalar.

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

• 
  A
• 
  B
• 
  C
• 
  D

Which of the following is a vector.

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

• 
  A
• 
  B
• 
  C
• 
  D

A vector with magnitude one is called

• constant vector A
• unit vector B
• zero vector C
• null vector 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
• none of these D

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

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

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

If C is the mid point of AB and P is any point outside AB, then

• 
  A
• 
  B
• 
  C
• 
  D