ECAT Pre Engineering MCQ Test With Answer for Chapter 24 Mathematics

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

• 
  A
• 
  B
• 
  C
• 
  D

The unit vector along x-axis is

• 
  A
• 
  B
• 
  C
• none of these D

• 
  A
• 
  B
• 
  C
• none of these D

Which of the following is a scalar

• weight A
• force B
• speed C
• momentum D

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

Which of the following is a vector.

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

• 
  A
• 
  B
• 
  C
• none of these D

• 
  A
• 
  B
• 
  C
• none of these D

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

Which of the following is not a unit vector

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

The unit vector along z-axis is

• 
  A
• 
  B
• 
  C
• none of these D

Which of the following is a scalar.

• electric field A
• magnetic field B
• weight C
• mass D

• 
  A
• 
  B
• 
  C
• 
  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

• 
  A
• 
  B
• 
  C
• 
  D

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

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

• 
  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

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

• 
  A
• 
  B
• 0 C
• 1 D

• 
  A
• 
  B
• 
  C
• 
  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

Which of the following is a vector.

• distance A
• temperature B
• energy C
• acceleration 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

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

• 
  A
• 
  B
• 1 C
• 0 D

• 
  A
• 
  B
• 
  C
• 
  D