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Response Details:
From part a), equation of the line in
In parametric form
We are looking for when this line intersects the coordinate planes.. In other word, we want to know where the line passes through the planes x = 0, y = 0, and z = 0. Starting with the intersection point for the plane z =0. We know that the plane z =0 contains all points where the z coordinate is 0... Hence the z coordinate on our line must also be 0 when it intersects. Setting z = 0
Using t=0, in the parametric equations for x and y, we find the x and y coordinates of the intersection.
Following the same procedure for the plane y = 0, by setting y =0
And for x = 0
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