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Vector Algebra ...

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  • Question 1
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    Zero Vector

  • Question 2
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    If a vector is expressed in component form as  then the magnitude of the vector  is  

  • Question 3
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    Find the value of x for which  x  is a unit vector

  • Question 4
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    Find the angle between two vectors  

  • Question 5
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    Find  λand μif  

  • Question 6
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    Unit Vector is

  • Question 7
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    If a vector   is expressed in component form as  then x, y and z are referred to as

  • Question 8
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    Show that the points A(1, –2, –8), B (5, 0, –2) and C (11, 3, 7) are collinear, and find the ratio in which B divides AC.

  • Question 9
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    Find the projection of the vector  

  • Question 10
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    Let the vectors   be such that  is a unit vector if the angle between vectors  is  

  • Question 11
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    The unit vector in the direction of a given vector  

  • Question 12
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    Which of the following is a vector?

  • Question 13
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    Find the position vector of a point R which divides the line joining two points P and Q whose position vectors are  externally in the ratio 1 : 2. Also, show that P is the mid point of the line segment RQ.

  • Question 14
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    Find the projection of the vector   on the vector

  • Question 15
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    If  θ is the angle between two vectors

  • Question 16
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    Coinitial Vectors are

  • Question 17
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    In the figure which are the Equal vectors? 

  • Question 18
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    The scalar product of two nonzero vectors  

  • Question 19
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    Find   if for a unit vector  

  • Question 20
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    If  θ is the angle between any two vectors   when θis equal to

  • Question 21
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    Vectors A and BareCollinear

  • Question 22
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  • Question 23
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    The scalar product of two nonzero vectors  

  • Question 24
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    If    are unit vectors such that then, the value of   

  • Question 25
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    Find the area of the triangle with vertices A(1, 1, 2), B(2, 3, 5) and C(1, 5, 5).

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