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

• 
  A
• 
  B
• 
  C
• none of these D

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

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

• a b A
• b+a B
• b-a C
• None D

The unit vector along y-axis is

• 
  A
• 
  B
• 
  C
• none of these D

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

• A A
• 0 B
• Unit vector 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

3j . k x i

• 0 A
• 1 B
• 3 C
• 9 D

If Projvu = Projuv, then

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

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

• 
  A
• 
  B
• 
  C
• 
  D

Which of the following represents a vector

• 
  A
• 
  B
• 
  C
• (x, y) D

• 
  A
• 
  B
• 
  C
• none of these D

• 
  A
• 
  B
• 
  C
• 
  D

Projection of vector u along v is

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

Which of the following us a scalar

• displacement A
• velocity B
• acceleration C
• density 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

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

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

u,v,wand u x (v.w) are

• Equal A
• Parallel B
• Additive immense of each other C
• Meaningless D

The null vector is regarded to be perpendicular to

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

• 
  A
• 
  B
• 
  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

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  A
• 
  B
• 
  C
• 
  D

Which of the vectors have opposite direction?

• 
  A
• 
  B
• 
  C
• 
  D