The parametric equations of a line in space are: x = x0 +at, y = y0 +

Question:

The parametric equations of a line in space are: x = x0 +at, y = y0 + bt, and z = z0 + ct. The distance d from a point A (xA, yA, zA) to the line can be calculated by:
d = dA0sin [acos((xA - x0)a + (yA - y0)b + (zA - z0)c]/dAoˆša2 + b2 + c2
where dAo = ˆš(xA - x0)2 + (YA - Yo)2 + (zA - z0)2.
Determine the distance of the point A (2, -3, 1) from the line x = €“4 + 0.6t, y = -2 + 0.5t, and z = €“3 + 0.7t. First define the variables x0, y0, z0, a, b, and c, then use the variable (and the coordinates of point A) to calculate the variable dAo, and finally calculate d.