ECAT Pre Engineering MCQ Test With Answer for Chapter 24 Mathematics

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

Which of the following represents a vector

• 
  A
• 
  B
• 
  C
• (x, y) D

• 
  A
• 
  B
• 
  C
• none of these D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• none of these D

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

The physical quantity which can be specified by a number alongwith unit is called a

• scalar A
• vector B
• constant C
• none of these 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

• 
  A
• 
  B
• 
  C
• 
  D

The unit vector along z-axis is

• 
  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

If |αi + (α+1)j +2k| =3 then value of α is

• 1,2 A
• -1,-2 B
• 1,-2 C
• -1,2 D

• 
  A
• 
  B
• 
  C
• none of these D

Which of the vectors have opposite direction?

• 
  A
• 
  B
• 
  C
• 
  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, C are coincident A
• A, B, C are collinear B
• Both A and B C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

For two vector a and b, a+b = _______

• a b A
• b+a B
• b-a C
• None D

• 1 A
• 0 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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• none of these D

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

• 
  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