Answer :

Given: line passes through the points whose position vectors are and

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.



The direction ratios of the line are (1 - 1) : (-2 - 3) : (1 + 2)

0 : -5 : 3

0 : 5 : -3



Vector form:

Cartesian form:

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