Calculus 3: 3D Space

1. Find a vector and parametric equations for the line that passes through (4,2) and is parallel to v = <-1,5>. Then find 2 other points on that line.

2. Find parametric equations for the line segment joining points P(2, -4, -1) and Q(5, 0, 7). Where does this line intersect the xy-plane?

Plot the point $B(-2,-4,-3)$ in the 3D coordinate system.

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

Plot the point $P(2, 4, 3)$ in the 3D coordinate system.