ECAT Pre Engineering MCQ Test With Answer for Chapter 24 Mathematics

• 
  A
• 
  B
• 
  C
• 
  D

Projection of vector u along v is

• |v| cosθ A
• |u| cosθ B
• |v| sinθ C
• |u| sinθ 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 is a scalar

• weight A
• force B
• speed C
• momentum D

• 
  A
• 
  B
• 
  C
• none of these 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 are coincident A
• A, B, C are collinear B
• Both A and B C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

The magnitude of a vector can never be

• Zero A
• Negative B
• Positive 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

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

• 
  A
• 
  B
• 
  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

• 
  A
• 
  B
• 
  C
• 
  D

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

• a b A
• b+a B
• b-a C
• None D

• 
  A
• 
  B
• 
  C
• 
  D

Which of the following us a scalar

• displacement A
• velocity B
• acceleration C
• density 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

Which of the following is a scalar.

• force A
• frequency B
• weight C
• acceleration D

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

• 
  A
• 
  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

The angle between the vectors 3i + j - k and 2i - j + k is

• 
  A
• 
  B
• 
  C
• 
  D

If the vector 2i + 4j - 7k and 2i + 6j + xk are perpendicular then x = ?

• 0 A
• 2 B
• 4 C
• 7 D

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• none of these D