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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• none of these 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

• 
  A
• 
  B
• 0 C
• 1 D

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

The direction cosines of y-axis are

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

• 
  A
• 
  B
• 
  C
• 
  D

Which of the following is a scalar

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

A vector with magnitude one is called

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

The zero vector is

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

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

Which of the following is a scalar.

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

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

If uv= Projuv then

• Uandvare parallel A
• vis a unit vector B
• Uis a unit vector C
• Both b and c D

The zero vector is regarded to be parallel to

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

Which of the following us a scalar

• displacement A
• velocity B
• acceleration C
• density D

• 0 A
• 90° B
• 180° C
• 360° D

• 
  A
• 
  B
• 
  C
• none of these 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

• 
  A
• 
  B
• 
  C
• 
  D

• 1 A
• 0 B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• none of these D

• 
  A
• 
  B
• 
  C
• 
  D

Which of the following is a vector.

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

u,v,wand u x (v.w) are

• Equal A
• Parallel B
• Additive immense of each other C
• Meaningless D