If A 1 , 2 , 3 , B 3 , 7 , - 2 , C 6 , 7 , 7 and D - 1 , 0 , - 1 are points in a plane, then the vector equation of the line passing through the centroids of Δ A B D and Δ A C D is

Question

If A 1 , 2 , 3 , B 3 , 7 , - 2 , C 6 , 7 , 7 and D - 1 , 0 , - 1 are points in a plane, then the vector equation of the line passing through the centroids of Δ A B D and Δ A C D is, r → = 2 i ^ + 3 j ^ + 3 k ^ + t i ^ + 3 j ^, r → = 1 + t i ^ + 3 j ^ + 3 t k ^, r → = i ^ + j ^ + k ^ + t 2 i ^ - j ^, r → = 2 i ^ - j ^ + t j ^ + 4 k ^

MARKS App · Accepted Answer

Centroid of ∆ A B D : 1 , 3 , 0 → i ^ + 3 j ^ Centroid of ∆ A C D : 2 , 3 , 3 → 2 i ^ + 3 j ^ + 3 k ^ r → = a → + t b → - a → ⇒ r → = i ^ + 3 j ^ + t i ^ + 3 k ^ ⇒ r → = 1 + t i ^ + 3 j ^ + 3 t k ^

Search any question & find its solution

Looking for more such questions to practice?