ECAT Pre Engineering MCQ Test With Answer for Chapter 24 Mathematics

The null vector is regarded to be perpendicular to

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

Which of the vectors have opposite direction?

• 
  A
• 
  B
• 
  C
• 
  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

• 
  A
• 
  B
• 
  C
• 
  D

The number z so that the triangle with vertices A(1,-1,0),B(-2,2,1)and C(0,2,z) is a right triangle with right angle at vertex C

• 1,2 A
• -1,-2 B
• 2,-1 C
• -2,1 D

• 
  A
• 
  B
• 
  C
• 
  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

Projection of vector u along v is

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

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

• 
  A
• 
  B
• 
  C
• 
  D

• 0 A
• 1 B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

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

Which of the following is a scalar

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

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

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

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  A
• 
  B
• 
  C
• none of these 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

u,v,wand u x (v.w) are

• Equal A
• Parallel B
• Additive immense of each other C
• Meaningless D

• 
  A
• 
  B
• 
  C
• 
  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

The area of the rhombus whose vertices are A(0,0),B(2,1),C(3,3),D(1,2) is

• 36 square units A
• 3 square units B
• 6 square units C
• 18 square units D

• 
  A
• 
  B
• 
  C
• none of these D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• none of these D

Which of the following is a vector.

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• none of these D

• 12 A
• 6 B
• 8 C
• none of these D