ECAT Pre Engineering MCQ Test With Answer for Chapter 24 Mathematics

• 0 A
• 90° B
• 180° C
• 360° D

• 
  A
• 
  B
• 
  C
• none of these D

• 
  A
• 
  B
• 
  C
• 
  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

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 does not represent absolute value of a vector

• magnitude A
• length B
• norm C
• number 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

The unit vector along x-axis is

• 
  A
• 
  B
• 
  C
• none of these D

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

• 
  A
• 
  B
• 
  C
• none of these D

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

• 
  A
• 
  B
• 
  C
• 
  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 a scalar

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

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  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
• 
  B
• 
  C
• none of these D

• parallel vectors A
• perpendicular vectors B
• concurrent vectors C
• collinear vectors D

• 
  A
• 
  B
• 
  C
• 
  D

The direction cosines of y-axis are

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

• 1 A
• 0 B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• none of these D

• 25 A
• 16 B
• 5 C
• 0 D

• 
  A
• 
  B
• 
  C
• 
  D

If a +b +c =0 then which of the following is true

• a =b =c =0 A
• a,b =b,c =c,a B
• a xb=b xc =c xa C
• None D

• a₁+ a₂ A
• a²₁+ a²₂ B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• none of these D