Answer :

Given: line passes through the points (2, -3, 0) and (-2, 4, 3)


To find: equation of line in vector and Cartesian forms


Formula Used: Equation of a line is


Vector form:


Cartesian form:


where is a point on the line and with b1 : b2 : b3 being the direction ratios of the line.


Explanation:


Here,


The direction ratios of the line are (2 + 2) : (-3 - 4) : (0 - 3)


4 : -7 : -3


-4 : 7 : 3


So,


Therefore,


Vector form:



Cartesian form:



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