ECAT Pre Engineering MCQ Test With Answer for Chapter 24 Mathematics

Which of the following is a scalar

• weight A
• force B
• speed C
• momentum D

• 12 A
• 6 B
• 8 C
• none of these D

• 
  A
• 
  B
• 
  C
• none of these 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

• 25 A
• 16 B
• 5 C
• 0 D

Which of the following is a vector.

• work A
• time B
• density C
• electric field D

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

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

Projection of vector u along v is

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

Three points whose position vector a,b,c are collinear

• axb +b x c+ c x a = 0 A
• a,b +b,c +c,a =0 B
• a,|a xc| =0 C
• a+b+c =0 D

• 
  A
• 
  B
• 
  C
• 
  D

If a2 = b2 then

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

• 
  A
• 
  B
• 
  C
• 
  D

Which of the following is a scalar.

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

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

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

• 
  A
• 
  B
• 0 C
• 1 D

• 
  A
• 
  B
• 
  C
• none of these D

• 
  A
• 
  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

• 
  A
• 
  B
• 
  C
• 
  D

The magnitude of a vector can never be

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

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

• 0 A
• 2 B
• 4 C
• 7 D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  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

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

Which of the following represents a vector

• 
  A
• 
  B
• 
  C
• (x, y) D