ECAT Pre Engineering MCQ Test With Answer for Chapter 24 Mathematics

• 
  A
• 
  B
• 
  C
• 
  D

Which of the following us a scalar

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

If |αi + (α+1)j +2k| =3 then value of α is

• 1,2 A
• -1,-2 B
• 1,-2 C
• -1,2 D

The position vector of any point in space is

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

Which of the following is a scalar.

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

If a,b,c are three non-coplanar vector then [a +b,b +c,c +a] = _____

• [a.b.c] A
• 2[a,b,c] B
• [abc]-2 C
• 2[abc]2 D

• l²+ m²+ n²= 0 A
• l² - m²+ n²= 1 B
• l²+ m²+ n²= 1 C
• l²+ m²- n²= 0 D

• 
  A
• 
  B
• 
  C
• none of these D

Which of the following is a vector.

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

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

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

• magnitude A
• length B
• norm C
• number 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

• 
  A
• 
  B
• 
  C
• none of these D

• Free vector A
• Null vector B
• Unit vector 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

• 12 A
• 6 B
• 8 C
• none of these 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 A
• 1 B
• -1 C
• None D

A vector of magnitude zero is called

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

The direction cosines of y-axis are

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

The physical quantity which possesses both magnitude and direction is called a

• scalar A
• vector B
• constant C
• none of these D

The area of the rhombus whose vertices are A(0,0),B(2,1),C(3,3),D(1,2) is

• 36 square units A
• 3 square units B
• 6 square units C
• 18 square units D

• 
  A
• 
  B
• 0 C
• 1 D

If uv= Projuv then

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

If a2 = b2 then

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