ECAT Pre Engineering MCQ Test With Answer for Chapter 24 Mathematics

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

The unit vector along z-axis is

• 
  A
• 
  B
• 
  C
• none of these D

Which of the following is a scalar.

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

The position vector of the point P(a, b, c) is

• 
  A
• 
  B
• 
  C
• 
  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

If Projvu = Projuv, then

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

• 
  A
• 
  B
• 
  C
• none of these D

The unit vector along y-axis is

• 
  A
• 
  B
• 
  C
• none of these D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• none of these D

The magnitude of a vector can never be

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

The direction cosines of y-axis are

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

If a2 = b2 then

• a = b A
• a+b= 1 B
• |a+b| =0 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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 0 A
• 1 B
• 
  C
• 
  D

• 25 A
• 16 B
• 5 C
• 0 D

Which of the following is a vector.

• energy A
• force B
• work C
• power D

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

Projection of vector u along v is

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

• 
  A
• 
  B
• 
  C
• 
  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 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
• 
  D

• 12 A
• 6 B
• 8 C
• none of these D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

[i,j,k]

• 0 A
• 2 B
• 1 C
• -2 D