Question

If P(1, 5, 4) and Q(4, 1, - 2) be the position vectors of two points P and Q, find the direction ratios of vector PQ

Answer 1

Let P(x₁, y₁, z₁) and Q(x₂, y₂, z₂) be the two points then Direction ratios of line joining P and Q i.e. PQ are x₂ - x₁, y₂ - y₁, z₂ - z

Here, P is(1, 5, 4) and Q is (4, 1, - 2)

Direction ratios of PQ are: (4 - 1),(1 - 5),( - 2 - 4) = 3, - 4, - 6

Ans: the direction ratios of vector PQ are: 3, - 4, - 6