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Vectors Test - ...

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  • Question 1
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    Direction angles are angles

     

  • Question 2
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     are any three vectors then the correct expression for distributivity of scalar product over addition is

     

  • Question 3
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    Find the values of x and y so that the vectors  

     

  • Question 4
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    Find the direction cosines of the vector  

     

  • Question 5
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  • Question 6
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    Direction cosines

     

  • Question 7
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    Magnitude of the vector  

     

  • Question 8
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    Find the sum of the vectors      and   

     

  • Question 9
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    Find the direction cosines of the vector joining the points A(1, 2, –3) and B(–1, –2, 1), directed from A to B.

     

  • Question 10
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    If a unit vector makes angles π/3 with    and an acute angle θwith  then find  θ

     

  • Question 11
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    If l, m and n are direction cosines of the position vector OP the coordinates of P are

     

  • Question 12
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    Unit vectors along the axes OX, OY and OZ are denoted by  

     

  • Question 13
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    Write down a unit vector in XY-plane, making an angle of 30 °with the positive direction of x-axis.

     

  • Question 14
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    Find the angle between two vectors   with magnitudes and 2, respectively, having  

     

  • Question 15
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    If a unit vector   makes angles and an acute angle θwith , then the components of   are

     

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