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

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
• 0 C
• 1 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

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

The unit vector along z-axis is

• 
  A
• 
  B
• 
  C
• none of these D

Which of the following is a vector.

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

• 
  A
• 
  B
• 
  C
• none of these D

• 
  A
• 
  B
• 
  C
• none of these D

• A A
• 0 B
• Unit vector C
• None 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

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 vector of magnitude zero is called

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

The null vector is regarded to be perpendicular to

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

• 
  A
• 
  B
• 
  C
• 
  D

• 0 A
• 90° B
• 180° C
• 360° D

• 
  A
• 
  B
• 
  C
• 
  D

The direction cosines of y-axis are

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

• 1 A
• 0 B
• 
  C
• 
  D

• 0 A
• 1 B
• 
  C
• 
  D

The zero vector is regarded to be parallel to

• Every vector A
• Is some cases B
• Both a,b C
• None 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
• 
  C
• none of these D

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

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

Which of the following is a scalar

• weight A
• force B
• speed C
• momentum 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

If a force F = 2i + j +3k acts at point (1,-2,2) of a body then the moment of F about a pint lying on the line of action of the force is

• 5 A
• Equal to the moment of the force about origin B
• 0 C
• Cannot be found D

The magnitude of a vector can never be

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