ECAT Pre Engineering MCQ Test With Answer for Chapter 24 Mathematics

• 
  A
• 
  B
• 
  C
• 
  D

The unit vector along y-axis is

• 
  A
• 
  B
• 
  C
• none of these D

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

If uv= Projuv then

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

• 0 A
• 90° B
• 180° C
• 360° D

The zero vector is

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

The position vector of the point P(a, b, c) is

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  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

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

• 
  A
• 
  B
• 
  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

• 
  A
• 
  B
• 0 C
• 1 D

The position vector of any point in space is

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• none of these D

The magnitude of a vector can never be

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

A vector with magnitude one is called

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

If the angle between two vectors with magnitude 6 and 2 is 60° when their scalar product is

• 12 A
• 6 B
• 3 C
• 0 D

• 
  A
• 
  B
• 
  C
• 
  D

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

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

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  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

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

• 
  A
• 
  B
• 
  C
• 
  D