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

answer: r(t)= ? find a vector.

Answer 1

Direction vector: [- 1 + 13, - 7 - 6, - 4 - 3] = [12, - 13, - 7].

Equation of line (x + 1)/12 = (y + 7)/-13 = (z + 4)/-7 = t;

x = 12t - 1; y = -13t - 12; z = -7t - 4

r(t) = [12t - 1, -13t - 12, -7t - 4]