Mathematics

To project a 3D curve onto the $yz$-plane, you're essentially looking at what the curve "looks like" when viewed straight-on from the $x$-axis—which means you drop the $x$-coordinate and keep only $y$ and $z$. The key is to eliminate the parameter $t$ from the $y$ and $z$ components to find the relationship between them, giving you the 2D curve equation that describes the projection's shape.

To project a 3D curve onto the $yz$-plane, you're essentially looking at what the curve "looks like" when viewed straight-on from the $x$-axis—which means you drop the $x$-coordinate and keep only $y$ and $z$. The key is to eliminate the parameter $t$ from the $y$ and $z$ components to find the relationship between them, giving you the 2D curve equation that describes the projection's shape.