ECAT Pre Engineering MCQ Test With Answer for Chapter 24 Mathematics

• 
  A
• 
  B
• 
  C
• none of these D

• 
  A
• 
  B
• 
  C
• none of these D

If a +b +c =0 then which of the following is true

• a =b =c =0 A
• a,b =b,c =c,a B
• a xb=b xc =c xa C
• None D

The position vector of a point (x, y) in xy plane is

• 
  A
• 
  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

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

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• [0, 0, 0] A
• [1, 0, 0] B
• [0, 1, 0] C
• [0, 0, 1] 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
• none of these D

• 
  A
• 
  B
• 
  C
• 
  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

Which of the following is a vector

• length A
• momentum B
• volume C
• speed 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 Projvu = Projuv, then

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

The zero vector is regarded to be parallel to

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

• 
  A
• 
  B
• 
  C
• 
  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

The ortho center of triangle whose vertices are (0,0)(3,0)(0,4) is

• (0,0) A
• (1,1) B
• (2,2) C
• (3,3) D

Which of the following us a scalar

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

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

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

[i,j,k]

• 0 A
• 2 B
• 1 C
• -2 D

Which of the following is a vector.

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