Find a parametrization
r(t) = h x(t), y(t), z(t)i
of the straight line passing through the origin
in 3-space whose projection on the xy-plane
is a line with slope 4, while its projection on
the yz-plane is a line with slope −3, i.e.,
∆y/∆x= 4,∆z/∆y= −3.

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Can you come up with a vector which goes in the correct direction?

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