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(1,0,1){A \left( - 1, 0, 1 \right)} and B(1,4,4).{B \left( - 1, 4, - 4 \right).}
The point P{P} lies on AB{AB} produced such that AB:AP=3:5.{AB : AP = 3 : 5.} Find the coordinates of P.{P.}

Attempt

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

Answer

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