ECAT Pre Engineering MCQ Test With Answer for Chapter 24 Mathematics

Which of the following us a scalar

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

If C is the mid point of AB and P is any point outside AB, then

• 
  A
• 
  B
• 
  C
• 
  D

The magnitude of a vector can never be

• Zero A
• Negative B
• Positive C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  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 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 angle between the vectors 3i + j - k and 2i - j + k is

• 
  A
• 
  B
• 
  C
• 
  D

If uv= Projuv then

• Uandvare parallel A
• vis a unit vector B
• Uis a unit vector C
• Both b and c D

• 
  A
• 
  B
• 
  C
• 
  D

Which of the vectors have opposite direction?

• 
  A
• 
  B
• 
  C
• 
  D

A vector with magnitude one is called

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

The zero vector is

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

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

• 
  A
• 
  B
• 
  C
• none of these D

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  A
• 
  B
• 
  C
• 
  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

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 following represents a vector

• 
  A
• 
  B
• 
  C
• (x, y) 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

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

• a b A
• b+a B
• b-a C
• None D

• 12 A
• 6 B
• 8 C
• none of these D

If a,b c are sides of a triangle taken in order then a x b =

• b x c A
• b x a B
• cxa C
• Both a & b D

[i,j,k]

• 0 A
• 2 B
• 1 C
• -2 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
• 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