ECAT Pre Engineering MCQ Test With Answer for Chapter 24 Mathematics

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

• 
  A
• 
  B
• 
  C
• none of these D

• 
  A
• 
  B
• 
  C
• 
  D

The zero vector is regarded to be parallel to

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

• 
  A
• 
  B
• 
  C
• 
  D

• 25 A
• 16 B
• 5 C
• 0 D

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

The unit vector along z-axis is

• 
  A
• 
  B
• 
  C
• none of these D

• 
  A
• 
  B
• 
  C
• 
  D

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

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

• 
  A
• 
  B
• 
  C
• none of these D

The zero vector is

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

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• none of these 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

Which of the following is not a unit vector

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

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

• a₁+ a₂ A
• a²₁+ a²₂ B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

The unit vector along x-axis is

• 
  A
• 
  B
• 
  C
• none of these D

• 
  A
• 
  B
• 
  C
• 
  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

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

• 
  A
• 
  B
• 
  C
• none of these D

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