ECAT Pre Engineering MCQ Test With Answer for Chapter 24 Mathematics

• 0 A
• 1 B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• none of these D

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

• 
  A
• 
  B
• 
  C
• 
  D

• 0 A
• 1 B
• -1 C
• None D

• 
  A
• 
  B
• 
  C
• none of these D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• none of these 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

• 
  A
• 
  B
• 
  C
• none of these D

Which of the following does not represent absolute value of a vector

• magnitude A
• length B
• norm C
• number D

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

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  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

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

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

Projection of vector u along v is

• |v| cosθ A
• |u| cosθ B
• |v| sinθ C
• |u| sinθ D

• 
  A
• 
  B
• 
  C
• none of these D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 1 A
• 0 B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• none of these 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

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

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

• A A
• 0 B
• Unit vector C
• None D

If uv= Projuv then

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D