ECAT Pre Engineering MCQ Test With Answer for Chapter 24 Mathematics

[i,j,k]

• 0 A
• 2 B
• 1 C
• -2 D

The physical quantity which possesses both magnitude and direction is called a

• scalar A
• vector B
• constant C
• none of these D

Which of the following is a vector

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

• 
  A
• 
  B
• 
  C
• none of these D

• 12 A
• 6 B
• 8 C
• none of these D

The position vector of any point in space is

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 0 C
• 1 D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• none of these D

• 
  A
• 
  B
• 
  C
• none of these D

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

• a b A
• b+a B
• b-a C
• None D

• 
  A
• 
  B
• 
  C
• none of these D

• 
  A
• 
  B
• 
  C
• none of these D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  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

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

• 
  A
• 
  B
• 
  C
• none of these D

• 
  A
• 
  B
• 
  C
• 
  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

Three points whose position vector a,b,c are collinear

• axb +b x c+ c x a = 0 A
• a,b +b,c +c,a =0 B
• a,|a xc| =0 C
• a+b+c =0 D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 1 A
• 0 B
• 
  C
• 
  D

• a₁+ a₂ A
• a²₁+ a²₂ 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

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

3j . k x i

• 0 A
• 1 B
• 3 C
• 9 D