A line passes through points A , B whose position vectors are i ^ + j ^ − 2 k ^ and i ^ − 3 j ^ + k ^ . The position vector of a point on this line at unit distance from A can be

Question

A line passes through points A , B whose position vectors are i ^ + j ^ ​ − 2 k ^ and i ^ − 3 j ^ ​ + k ^ . The position vector of a point on this line at unit distance from A can be

TestHub · Accepted Answer

If p ​ = a + t ( b − a ) , then b − a = − 4 j ^ ​ + 3 k ^ and ∣ p ​ − a ∣ = 5∣ t ∣ = 1 . Thus t = ± 5 1 ​ , producing options A and D.

Mathematics - Vector Question with Solution | TestHub

Options:(select one or more)

Doubts & Discussion