ECAT Pre Engineering MCQ Test With Answer for Chapter 24 Mathematics

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• none of these D

• 0 A
• 1 B
• 
  C
• 
  D

The unit vector along z-axis is

• 
  A
• 
  B
• 
  C
• none of these D

The unit vector along y-axis is

• 
  A
• 
  B
• 
  C
• none of these D

• 
  A
• 
  B
• 
  C
• 
  D

Which of the following represents a vector

• 
  A
• 
  B
• 
  C
• (x, y) D

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  A
• 
  B
• 
  C
• none of these D

A vector with magnitude one is called

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

• 
  A
• 
  B
• 
  C
• 
  D

• 25 A
• 16 B
• 5 C
• 0 D

If Projvu = Projuv, then

• Uand vare parallel A
• |u|=|v| B
• Uandvre perpendicular C
• One ofuorv D

• A,. B, C are coincident A
• A, B, C are collinear B
• Both A and B C
• None of these D

The zero vector is regarded to be parallel to

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

• 
  A
• 
  B
• 
  C
• none of these D

Which of the following is a vector

• length A
• momentum B
• volume C
• speed D

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  A
• 
  B
• 
  C
• none of these D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 0 C
• 1 D

If uv= Projuv then

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

• 12 A
• 6 B
• 8 C
• none of these D

If the vector 2i + 4j - 7k and 2i + 6j + xk are perpendicular then x = ?

• 0 A
• 2 B
• 4 C
• 7 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

The magnitude of a vector can never be

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

Unit vector in the positive direction of x-axis is

• 
  A
• 
  B
• 
  C
• 
  D