Answer :

**Given:** A line is passing through the point (−1,3,5) and parallel to line

**To Find:** The equation of the line in vector form.

The equation of a line passing through a point with position vector and parallel to vector is,

The line is parallel to the line , z = 2

So, the direction ratio of the given parallel line is = (2,3,0)

So, the direction vector is,

And the line is passing through the point (-1,3,5)

So, the point vector,

So, the vector form of the line is,

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