Answer :
Given: line passes through (1, 2, 3) and is parallel to the line
To find: equation of line in Vector and Cartesian form
Formula Used: Equation of a line is
Vector form:
Cartesian form:
where is a point on the line and
is a vector parallel to the line.
Explanation:
Since the line (say L1) is parallel to another line (say L2), L1 has the same direction ratios as that of L2
Here,
Equation of L2 can be rewritten as:
Therefore,
Vector form of the line is:
Cartesian form of the line is:
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