Write parametric equations of the line through the points (7,1,-5) and (3,4,-2). please use the first point as your base-point when writing the equations.

Given:

A line through the points (7,1,-5) and (3,4,-2).

To find:

The parametric equations of the line.

Solution:

Direction vector for the points (7,1,-5) and (3,4,-2) is

Now, the perimetric equations for initial point with direction vector , are

The initial point is (7,1,-5) and direction vector is . So the perimetric equations are

Similarly,

Therefore, the required perimetric equations are and .

answer;

the correct answer

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