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Vector Algebra ...

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  • Question 1
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    Vector has

  • Question 2
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    Correct form of distributive law is

  • Question 3
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    Magnitude of the vector  

  • Question 4
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    Find the unit vector in the direction of vector  where P and Q are the points (1, 2, 3) and (4, 5, 6), respectively

  • Question 5
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    If   is a non zero vector of magnitude ‘a ’and  λ a non zero scalar, then  λis a unit vector if

  • Question 6
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    Find the values of x and y so that the vectors  are equal

  • Question 7
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    If  P1 (x1 , y1 , z1 ) and  P2 (x2 , y2 , z2 ) are any two points, then the vector joining P1 and  P2is the vector P1P2. Magnitude of the vector  

  • Question 8
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    Find the scalar and vector components of the vector with initial point (2, 1) and terminal point (–5, 7). 

  • Question 9
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    Find a vector in the direction of the vector  which has a magnitude of 8 units

  • Question 10
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    Find   , if     and   

  • Question 11
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    Direction angles are angles

  • Question 12
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     are any three vectors then the correct expression for distributivity of scalar product over addition is

  • Question 13
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    Find the values of x and y so that the vectors  

  • Question 14
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    Find the direction cosines of the vector  

  • Question 15
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  • Question 16
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    Direction cosines

  • Question 17
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    Magnitude of the vector  

  • Question 18
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    Find the sum of the vectors      and   

  • Question 19
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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 20
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    If a unit vector makes angles π/3 with    and an acute angle θwith  then find  θ

  • Question 21
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    If l, m and n are direction cosines of the position vector OP the coordinates of P are

  • Question 22
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    Unit vectors along the axes OX, OY and OZ are denoted by  

  • Question 23
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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 24
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    Find the angle between two vectors   with magnitudes and 2, respectively, having  

  • Question 25
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    If a unit vector   makes angles and an acute angle θwith , then the components of   are

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