Q. 30

# 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

Answer :

Let P(x_{1},y_{1},z_{1}) and Q(x_{2},y_{2},z_{2}) be the two points then Direction ratios of line joining P and Q i.e. PQ are x_{2} - x_{1},y_{2} - y_{1},z_{2} - 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 _{are:} 3, - 4, - 6

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