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

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

Which of the following is a scalar.

• force A
• frequency B
• weight C
• acceleration D

• 
  A
• 
  B
• 
  C
• 
  D

• 12 A
• 6 B
• 8 C
• none of these 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

• a₁+ a₂ A
• a²₁+ a²₂ 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

[i,j,k]

• 0 A
• 2 B
• 1 C
• -2 D

• 
  A
• 
  B
• 
  C
• none of these D

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  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

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

If Projvu = Projuv, then

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

• 
  A
• 
  B
• 
  C
• none of these D

• 0 A
• 1 B
• -1 C
• None 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

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

• A A
• 0 B
• Unit vector C
• None 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

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

• 
  A
• 
  B
• 
  C
• none of these D

The position vector of any point in space is

• 
  A
• 
  B
• 
  C
• 
  D

A vector of magnitude zero is called

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

Which of the following is a vector.

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

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

• 0 A
• 2 B
• 4 C
• 7 D

The angle between the vectors 3i + j - k and 2i - j + k is

• 
  A
• 
  B
• 
  C
• 
  D