ECAT Pre Engineering MCQ Test With Answer for Chapter 24 Mathematics

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

A vector of magnitude zero is called

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

• 
  A
• 
  B
• 
  C
• 
  D

• A,. B, C are coincident A
• A, B, C are collinear B
• Both A and B C
• None of these D

If the angle between two vectors with magnitude 2 and 15 is 30°then their scalar product is

• 
  A
• 15 B
• 30 C
• 
  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

Which of the following is a vector.

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

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

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

• perpendicular vectors A
• concurrent vectors B
• parallel vectors C
• none of these D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

3j . k x i

• 0 A
• 1 B
• 3 C
• 9 D

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

Which of the vectors have opposite direction?

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  A
• 
  B
• 
  C
• none of these D

• 0 A
• 1 B
• -1 C
• None 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
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• parallel vectors A
• perpendicular vectors B
• concurrent vectors C
• collinear vectors D

• 0 A
• 90° B
• 180° C
• 360° D

• A A
• 0 B
• Unit vector C
• None D

The position vector of the point P(a, b, c) is

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• none of these D

• 
  A
• 
  B
• 1 C
• 0 D

If Projvu = Projuv, then

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

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

• a b A
• b+a B
• b-a C
• None D

The physical quantity which can be specified by a number alongwith unit is called a

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