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

The zero vector is regarded to be parallel to

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

If |a x b|2 + (a,b)2 = _____

• |a|2 + |b|2 A
• |a|2- |b|2 B
• |a|2|b|2 C
• None D

If Projvu = Projuv, then

• Uand vare parallel A
• |u|=|v| B
• Uandvre perpendicular C
• One ofuorv D

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

• 
  A
• 
  B
• 0 C
• 1 D

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

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• none of these D

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• none of these D

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

Which of the following is a scalar.

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

• 
  A
• 
  B
• 
  C
• none of these 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

• a₁+ a₂ A
• a²₁+ a²₂ B
• 
  C
• 
  D

• 12 A
• 6 B
• 8 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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

If a2 = b2 then

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

Which of the following represents a vector

• 
  A
• 
  B
• 
  C
• (x, y) D

• 
  A
• 
  B
• 
  C
• 
  D

The ortho center of triangle whose vertices are (0,0)(3,0)(0,4) is

• (0,0) A
• (1,1) B
• (2,2) C
• (3,3) 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

Which of the following is a vector.

• distance A
• temperature B
• energy C
• acceleration D

• 
  A
• 
  B
• 
  C
• 
  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

• 
  A
• 
  B
• 
  C
• 
  D