ECAT Pre Engineering MCQ Test With Answer for Chapter 24 Mathematics

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  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
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  C
• 
  D

• 25 A
• 16 B
• 5 C
• 0 D

If C is the mid point of AB and P is any point outside AB, then

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  A
• 
  B
• 
  C
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  D

• 
  A
• 
  B
• 
  C
• none of these D

• 0 A
• 90° B
• 180° C
• 360° D

Projection of vector u along v is

• |v| cosθ A
• |u| cosθ B
• |v| sinθ C
• |u| sinθ D

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  A
• 
  B
• 
  C
• 
  D

The zero vector is

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

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  A
• 
  B
• 
  C
• none of these D

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  A
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  B
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  C
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  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

• a₁+ a₂ A
• a²₁+ a²₂ B
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  C
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  D

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

• 
  A
• 
  B
• 
  C
• 
  D

A vector with magnitude one is called

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

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

Unit vector in the positive direction of x-axis is

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  A
• 
  B
• 
  C
• 
  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

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  A
• 
  B
• 
  C
• 
  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

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  A
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  B
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  C
• 
  D

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  A
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  B
• 
  C
• 
  D

[i,j,k]

• 0 A
• 2 B
• 1 C
• -2 D

Three points whose position vector a,b,c are collinear

• axb +b x c+ c x a = 0 A
• a,b +b,c +c,a =0 B
• a,|a xc| =0 C
• a+b+c =0 D

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  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 0 C
• 1 D