Determine the Cartesian form of the plane whose equation in parametric form is: x = 2 + 3s-2t y = 1-s+5t z = −3+2s - t.

Zoe walks due west at 3km/hr on the deck of a boat which is sailing north at 15km/hr in still water (no current). Find the velocity of Zoe relative to the surface of the water. To begin your solution, use a cartesian plane with the y axis pointing north and express Vzb (the velocity of Zoe relative to the boat) and vbw (the velocity of the boat relative to the water) in component form.