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Vectors Test - 8

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Vectors Test - 8
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  • Question 1
    1 / -0.25

    Zero Vector

    Solution

    A vector whose initial and terminal points coincides is called Zero Vector. The magnitude of Zero Vector is also Zero.

  • Question 2
    1 / -0.25

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

    Solution

  • Question 3
    1 / -0.25

    Find the value of x for which  x  is a unit vector

    Solution


  • Question 4
    1 / -0.25

    Find the angle between two vectors  

    Solution




  • Question 5
    1 / -0.25

    Find  λand μif  

    Solution


    It is given that: 



  • Question 6
    1 / -0.25

    Unit Vector is

    Solution

    The vector whose magnitude is always 1 or unity is called a Unit Vector.

  • Question 7
    1 / -0.25

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

    Solution

    In  x , y and z represents the components of  along x-axis ,y-axis and z-axis respectively.

  • Question 8
    1 / -0.25

    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.

    Solution



    Therefore , AB and BC are parallel, but point B is common , so points , A,B,C are collinear. As  

  • Question 9
    1 / -0.25

    Find the projection of the vector  

    Solution

  • Question 10
    1 / -0.25

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

    Solution


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