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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• none of these D

If Projvu = Projuv, then

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

• 
  A
• 
  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

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

• 
  A
• 
  B
• 
  C
• none of these D

Unit vector in the positive direction of x-axis is

• 
  A
• 
  B
• 
  C
• 
  D

[i,j,k]

• 0 A
• 2 B
• 1 C
• -2 D

• 0 A
• 90° B
• 180° C
• 360° D

A vector with magnitude one is called

• constant vector A
• unit vector B
• zero vector C
• null vector D

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

• 0 A
• 2 B
• 4 C
• 7 D

• 
  A
• 
  B
• 1 C
• 0 D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

Projection of vector u along v is

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

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

Which of the vectors have opposite direction?

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  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

Which of the following is a vector.

• work A
• time B
• density C
• electric field D

• 
  A
• 
  B
• 0 C
• 1 D

Which of the following is a vector.

• distance A
• temperature B
• energy C
• acceleration 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

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

• 1 A
• 0 B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

The null vector is regarded to be perpendicular to

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