ECAT Pre Engineering MCQ Test With Answer for Chapter 24 Mathematics

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

• a₁+ a₂ A
• a²₁+ a²₂ B
• 
  C
• 
  D

• 
  A
• 
  B
• 1 C
• 0 D

• 
  A
• 
  B
• 0 C
• 1 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 null vector is regarded to be perpendicular to

• Every vector A
• In some cases B
• Both a b C
• None D

• 
  A
• 
  B
• 
  C
• 
  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
• none of these D

• 
  A
• 
  B
• 
  C
• none of these D

Which of the following represents a vector

• 
  A
• 
  B
• 
  C
• (x, y) D

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

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

• 0 A
• 1 B
• 
  C
• 
  D

Which of the following us a scalar

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

• 
  A
• 
  B
• 
  C
• 
  D

• A,. B, C are coincident A
• A, B, C are collinear B
• Both A and B 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

• 
  A
• 
  B
• 
  C
• none of these D

Which of the following is a scalar.

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

Unit vector in the positive direction of x-axis is

• 
  A
• 
  B
• 
  C
• 
  D

The ortho center of triangle whose vertices are (0,0)(3,0)(0,4) is

• (0,0) A
• (1,1) B
• (2,2) C
• (3,3) D

3j . k x i

• 0 A
• 1 B
• 3 C
• 9 D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

The unit vector along x-axis is

• 
  A
• 
  B
• 
  C
• none of these D

The position vector of a point (x, y) in xy plane is

• 
  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

• Free vector A
• Null vector B
• Unit vector C
• None of these D

• 
  A
• 
  B
• 
  C
• none of these D