ECAT Pre Engineering MCQ Test With Answer for Chapter 24 Mathematics

The magnitude of a vector can never be

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

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

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

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• none of these D

• A A
• 0 B
• Unit vector C
• None D

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

• 25 A
• 16 B
• 5 C
• 0 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

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

Which of the following is a scalar

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

3j . k x i

• 0 A
• 1 B
• 3 C
• 9 D

• 
  A
• 
  B
• 
  C
• none of these D

• 
  A
• 
  B
• 
  C
• 
  D

Which of the vectors have opposite direction?

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• none of these D

• 
  A
• 
  B
• 
  C
• 
  D

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

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

Which of the following is a vector.

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

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

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

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• none of these D

• 
  A
• 
  B
• 
  C
• none of these D

The unit vector along z-axis is

• 
  A
• 
  B
• 
  C
• none of these D

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

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