ECAT Pre Engineering MCQ Test With Answer for Chapter 24 Mathematics

• 
  A
• 
  B
• 
  C
• 
  D

The position vector of any point in space is

• 
  A
• 
  B
• 
  C
• 
  D

Which of the following does not represent absolute value of a vector

• magnitude A
• length B
• norm C
• number 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 a,b,c are unit vectors then |a + b|2 +|a - b|2

• 4 A
• 8ab B
• 9cos C
• 4(a,b) D

The direction cosines of y-axis are

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

• 
  A
• 
  B
• 
  C
• 
  D

• 25 A
• 16 B
• 5 C
• 0 D

• 
  A
• 
  B
• 
  C
• none of these D

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

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

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

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

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

Which of the following is a scalar.

• electric field A
• magnetic field B
• weight C
• mass D

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

The unit vector along z-axis is

• 
  A
• 
  B
• 
  C
• none of these D

• 12 A
• 6 B
• 8 C
• none of these D

If Projvu = Projuv, then

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

If uv= Projuv then

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

Which of the following us a scalar

• displacement A
• velocity B
• acceleration C
• density 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

• l²+ m²+ n²= 0 A
• l² - m²+ n²= 1 B
• l²+ m²+ n²= 1 C
• l²+ m²- n²= 0 D

Which of the following represents a vector

• 
  A
• 
  B
• 
  C
• (x, y) 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

• 
  A
• 
  B
• 
  C
• none of these D

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  A
• 
  B
• 
  C
• 
  D