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### Section 1-1 : The 3-D Coordinate System

1. Give the projection of $$P = \left( {3, - 4,6} \right)$$ onto the three coordinate planes.

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There really isn’t a lot to do with this problem. We know that the $$xy$$-plane is given by the equation $$z = 0$$ and so the projection into the $$xy$$-plane for any point is simply found by setting the $$z$$ coordinate to zero. We can find the projections for the other two coordinate planes in a similar fashion.

So, the projects are then,

$$xy$$ – plane : $$\left( {3, - 4,0} \right)$$

$$xz$$ – plane : $$\left( {3,0,6} \right)$$

$$yz$$ – plane : $$\left( {0, - 4,6} \right)$$