Class 12 Maths Three Dimensional Geometry Represent a point in Cartesian and Vector form

Represent a point in Cartesian and Vector form

Consider a point P (4, 5, 6) and in Cartesian form it will be represented as:

  • (x,y,z)=(4,5, 6).

In vector form point P will be represented as (4i+5j+6k).

 

Representing a line in 2Dwhose end points are given as (3,5) and (2,8):-

In Cartesian form:-

(y-8)/(x-2)=(8-5)/(2-3)=-3

(y-8)=-3(x-2) (equation(1))

 

In Vector form:-

 

 

Representing a line  in 3D whose end points are given as:

In Cartesian form:-

 

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