ECAT Pre Engineering Mathematic MCQ Test With Answer for Chapter 24 (Vectors)

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

• 
  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

• l²+ m²+ n²= 0 A
• l² - m²+ n²= 1 B
• l²+ m²+ n²= 1 C
• l²+ m²- n²= 0 D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

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

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 1 C
• 0 D

Which of the following represents a vector

• 
  A
• 
  B
• 
  C
• (x, y) D

3j . k x i

• 0 A
• 1 B
• 3 C
• 9 D

Which of the following is a vector.

• energy A
• force B
• work C
• power D

• 
  A
• 
  B
• 
  C
• 
  D

If the angle between two vectors with magnitude 6 and 2 is 60° when their scalar product is

• 12 A
• 6 B
• 3 C
• 0 D

• 
  A
• 
  B
• 
  C
• none of these D

• 
  A
• 
  B
• 
  C
• none of these D

If the vector 2i + 4j - 7k and 2i + 6j + xk are perpendicular then x = ?

• 0 A
• 2 B
• 4 C
• 7 D

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

• magnitude A
• length B
• norm C
• number 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

The magnitude of a vector can never be

• Zero A
• Negative B
• Positive C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

• A A
• 0 B
• Unit vector C
• None D

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

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  A
• 
  B
• 
  C
• 
  D

The physical quantity which possesses both magnitude and direction is called a

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

• 
  A
• 
  B
• 
  C
• 
  D