ECAT Pre Engineering MCQ Test With Answer for Chapter 24 Mathematics

Which of the following is a vector.

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 0 C
• 1 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

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

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

[i,j,k]

• 0 A
• 2 B
• 1 C
• -2 D

• 
  A
• 
  B
• 
  C
• 
  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
• 
  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

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

The zero vector is regarded to be parallel to

• Every vector A
• Is some cases B
• Both a,b 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 the angle between two vectors with magnitude 2 and 15 is 30°then their scalar product is

• 
  A
• 15 B
• 30 C
• 
  D

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

• magnitude A
• length B
• norm C
• number D

• 0 A
• 1 B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

A vector with magnitude one is called

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

• 
  A
• 
  B
• 0 C
• 1 D

The unit vector along x-axis is

• 
  A
• 
  B
• 
  C
• none of these D

Which of the following is a scalar

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

• 
  A
• 
  B
• 
  C
• none of these D

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

• 
  A
• 
  B
• 
  C
• 
  D

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

• 1 A
• 0 B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

The magnitude of a vector can never be

• Zero A
• Negative B
• Positive 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