ECAT Pre Engineering MCQ Test With Answer for Chapter 24 Mathematics

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  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

• 
  A
• 
  B
• 
  C
• 
  D

The unit vector along x-axis is

• 
  A
• 
  B
• 
  C
• none of these D

• 0 A
• 1 B
• 
  C
• 
  D

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

Unit vector in the positive direction of x-axis is

• 
  A
• 
  B
• 
  C
• 
  D

Which of the following is a vector

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

• 
  A
• 
  B
• 
  C
• none of these D

• 0 A
• 1 B
• -1 C
• None D

• 
  A
• 
  B
• 
  C
• 
  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

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

Projection of vector u along v is

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

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  A
• 
  B
• 
  C
• 
  D

• 12 A
• 6 B
• 8 C
• none of these D

If a,b,c are unit vectors then |a + b|2 +|a - b|2

• 4 A
• 8ab B
• 9cos C
• 4(a,b) D

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

If a2 = b2 then

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

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

Which of the vectors have opposite direction?

• 
  A
• 
  B
• 
  C
• 
  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

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