ECAT Pre General Science MCQ Test With Answer for Mathematics Chapter 24

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

• 
  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

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

• 
  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 the point P(a, b, c) is

• 
  A
• 
  B
• 
  C
• 
  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 vector of magnitude zero is called

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• none of these D

• 0 A
• 90° B
• 180° C
• 360° D

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

• 
  A
• 
  B
• 0 C
• 1 D

Which of the vectors have opposite direction?

• 
  A
• 
  B
• 
  C
• 
  D

If a force F = 2i + j +3k acts at point (1,-2,2) of a body then the moment of F about a pint lying on the line of action of the force is

• 5 A
• Equal to the moment of the force about origin B
• 0 C
• Cannot be found D

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

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  A
• 
  B
• 0 C
• 1 D

• 
  A
• 
  B
• 
  C
• none of these D

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  A
• 
  B
• 
  C
• 
  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

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
• 
  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

• a₁+ a₂ A
• a²₁+ a²₂ B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D