ECAT Pre Engineering Mathematic MCQ Test With Answer for Chapter 24 (Vectors)

If a,b,c are three non-coplanar vector then [a +b,b +c,c +a] = _____

• [a.b.c] A
• 2[a,b,c] B
• [abc]-2 C
• 2[abc]2 D

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

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

• 
  A
• 
  B
• 
  C
• 
  D

Which of the following is a scalar.

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

[i,j,k]

• 0 A
• 2 B
• 1 C
• -2 D

• 
  A
• 
  B
• 
  C
• none of these 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

3j . k x i

• 0 A
• 1 B
• 3 C
• 9 D

The zero vector is regarded to be parallel to

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

• 
  A
• 
  B
• 
  C
• 
  D

• a₁+ a₂ A
• a²₁+ a²₂ B
• 
  C
• 
  D

Which of the following is a vector

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

The magnitude of a vector can never be

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

• 
  A
• 
  B
• 
  C
• 
  D

Which of the following is a scalar

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

If Projvu = Projuv, then

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

If |αi + (α+1)j +2k| =3 then value of α is

• 1,2 A
• -1,-2 B
• 1,-2 C
• -1,2 D

A vector with magnitude one is called

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

Which of the following is a vector.

• energy A
• force B
• work C
• power 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
• 
  C
• none of these D

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

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

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

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D