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(0,1,0){A \left( 0, 1, 0 \right)} and B(2,1,4).{B \left( 2, - 1, - 4 \right).}
The point P{P} lies on AB{AB} produced such that AB:AP=1:5.{AB : AP = 1 : 5.} Find the coordinates of P.{P.}

Attempt

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

Answer

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