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

• 0 A
• 1 B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

Which of the following is a scalar

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

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  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

If the angle between two vectors with magnitude 2 and 15 is 30°then their scalar product is

• 
  A
• 15 B
• 30 C
• 
  D

• 25 A
• 16 B
• 5 C
• 0 D

The unit vector along z-axis is

• 
  A
• 
  B
• 
  C
• none of these 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

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

• 
  A
• 
  B
• 
  C
• none of these 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

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

If uv= Projuv then

• Uandvare parallel A
• vis a unit vector B
• Uis a unit vector C
• Both b and c D

The unit vector along x-axis is

• 
  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

• 
  A
• 
  B
• 
  C
• none of these D

• 
  A
• 
  B
• 
  C
• none of these D

3j . k x i

• 0 A
• 1 B
• 3 C
• 9 D

If a2 = b2 then

• a = b A
• a+b= 1 B
• |a+b| =0 C
• None D

Which of the following us a scalar

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

The position vector of the point P(a, b, c) is

• 
  A
• 
  B
• 
  C
• 
  D

Which of the following represents a vector

• 
  A
• 
  B
• 
  C
• (x, y) 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

If |αi + (α+1)j +2k| =3 then value of α is

• 1,2 A
• -1,-2 B
• 1,-2 C
• -1,2 D

If 2 and 2 are x and y components of vector then its angle with x-axis is

• 30° A
• 45° B
• 60° C
• 90° 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

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