ECAT Pre Engineering Mathematic MCQ Test With Answer for Chapter 24 (Vectors)

• 
  A
• 
  B
• 
  C
• 
  D

The unit vector along z-axis is

• 
  A
• 
  B
• 
  C
• none of these D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• none of these D

• 
  A
• 
  B
• 
  C
• 
  D

A vector of magnitude zero is called

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

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

The zero vector is regarded to be parallel to

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

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

• 
  A
• 
  B
• 
  C
• none of these D

The position vector of any point in space is

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• none of these D

Which of the following represents a vector

• 
  A
• 
  B
• 
  C
• (x, y) 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

• a₁+ a₂ A
• a²₁+ a²₂ B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

If C is the mid point of AB and P is any point outside AB, then

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  A
• 
  B
• 
  C
• 
  D

The number z so that the triangle with vertices A(1,-1,0),B(-2,2,1)and C(0,2,z) is a right triangle with right angle at vertex C

• 1,2 A
• -1,-2 B
• 2,-1 C
• -2,1 D

• 
  A
• 
  B
• 
  C
• 
  D

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

[i,j,k]

• 0 A
• 2 B
• 1 C
• -2 D

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

• 0 A
• 1 B
• 
  C
• 
  D

The null vector is regarded to be perpendicular to

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