Please explain in words how would you do this, no solution needed -
Determine the symmetric equation of the line going through the points P (-2,0,3) and Q (1,3,7)
To determine the symmetric equation of the line going through the points P (-2,0,3) and Q (1,3,7), follow these steps:
1. Find the direction vector of the line: Subtract the coordinates of point P from the coordinates of point Q to get a vector that represents the direction of the line.
2. Write the symmetric equation: The symmetric equation of a line has the form:
(x - x₀)/a = (y - y₀)/b = (z - z₀)/c
where (x₀, y₀, z₀) is a point on the line, and (a, b, c) is the direction vector of the line.
3. Substitute the values: Replace (x₀, y₀, z₀) with the coordinates of point P, and (a, b, c) with the components of the direction vector computed in step 1.
By completing these steps, you will be able to determine the symmetric equation of the line going through points P (-2,0,3) and Q (1,3,7) without actually finding the solution.