ECAT Pre General Science MCQ Test With Answer for Mathematics Chapter 24

• A A
• 0 B
• Unit vector C
• None 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

The unit vector along z-axis is

• 
  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

[i,j,k]

• 0 A
• 2 B
• 1 C
• -2 D

• 
  A
• 
  B
• 
  C
• none of these 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

Which of the following is a vector.

• distance A
• temperature B
• energy C
• acceleration D

If a,b,c are three non-coplanar vector then [a +b,b +c,c +a] = _____

• [a.b.c] A
• 2[a,b,c] B
• [abc]-2 C
• 2[abc]2 D

If Projvu = Projuv, then

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

The position vector of any point in space is

• 
  A
• 
  B
• 
  C
• 
  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 vector with magnitude one is called

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

• 
  A
• 
  B
• 0 C
• 1 D

• 0 A
• 1 B
• -1 C
• None 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

If a2 = b2 then

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

• 
  A
• 
  B
• 
  C
• none of these D

Which of the following represents a vector

• 
  A
• 
  B
• 
  C
• (x, y) D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 0 C
• 1 D

• 1 A
• 0 B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• none of these D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• none of these D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• none of these D

• 25 A
• 16 B
• 5 C
• 0 D