ECAT Pre Engineering MCQ Test With Answer for Chapter 24 Mathematics

• 12 A
• 6 B
• 8 C
• none of these D

• 
  A
• 
  B
• 
  C
• 
  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

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

Which of the following is a scalar.

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

A vector with magnitude one is called

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

The direction cosines of y-axis are

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

• 
  A
• 
  B
• 
  C
• none of these D

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

• Free vector A
• Null vector B
• Unit vector 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

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

• magnitude A
• length B
• norm C
• number 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

Which of the vectors have opposite direction?

• 
  A
• 
  B
• 
  C
• 
  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 is a vector

• length A
• momentum B
• volume C
• speed D

A vector of magnitude zero is called

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

If Projvu = Projuv, then

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

[i,j,k]

• 0 A
• 2 B
• 1 C
• -2 D

• 
  A
• 
  B
• 
  C
• none of these D

• 
  A
• 
  B
• 
  C
• none of these D

The angle between the vectors 3i + j - k and 2i - j + k is

• 
  A
• 
  B
• 
  C
• 
  D

The position vector of any point in space is

• 
  A
• 
  B
• 
  C
• 
  D

Which of the following represents a vector

• 
  A
• 
  B
• 
  C
• (x, y) D

• 
  A
• 
  B
• 0 C
• 1 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