Find a vector equation with parameter 𝑡 t for the line through the points (−1,−7,−4) ( − 1 , − 7 , − 4 ) and (−13,6,3).

Question

find a vector answer r(t)=?

Answer 1

Let us find the directing vector u of the line passing through these two points

u =< -12, 13, 7 >

Then the vector valued function is

r(t) = < -1-12t, -7 +13t, -4 +7t >