Question 1201f

Vectors I: Basics, Dot and Cross Products
Ratio Theorem

Question

The coordinates of the points A{A} and B{B} are given by A(2,0,1){A \left( 2, 0, 1 \right)} and B(5,0,1).{B \left( 5, 0, - 1 \right).}
The point P{P} lies on AB{AB} produced such that AB:BP=2:3.{AB : BP = 2 : 3.} Find the coordinates of P.{P.}

Attempt

P{P}
({\Big(}
,
,
){\Big)}

Answer

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