ECAT Pre Engineering MCQ Test With Answer for Chapter 24 Mathematics

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

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

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

• 
  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

The direction cosines of y-axis are

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

Which of the following is a vector.

• energy A
• force B
• work C
• power 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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  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

If Projvu = Projuv, then

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

• 
  A
• 
  B
• 
  C
• none of these 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
• none of these D

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  A
• 
  B
• 
  C
• none of these D

• 
  A
• 
  B
• 
  C
• 
  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 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

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D