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melomori [17]
3 years ago
15

HELP ME ANSWER THIS QUESTION QUICKLY BEFORE KATIE REMOVES IT FOR SOME RANDOM REASON.

Mathematics
1 answer:
Marrrta [24]3 years ago
4 0

Answer:

\vec{BC}=2b - 4a

\vec{XY}=a+ b

\vec {CY}=a - 2b

Step-by-step explanation:

By the triangular law of vector addition:

\vec {CY}=\vec {CA}+ \vec{AY}

\vec {CY}=a - 2b

We have that;

\frac{YB}{AY} =  \frac{3}{1}

\implies YB = 3 AY \\  \vec {YB}  = 3  \vec {AY}

\vec {YB}  = 3 a

From triangle ABC,

\vec{BC}=\vec{BA}+\vec{AC} \\ \vec{BC}=2b - 4a

Again from triangle XYB

\vec{XY}=\vec{YB}+\vec{BX} \\

\vec{XY}=\vec{YB}+ \frac{1}{2} \vec{BC}

\vec{XY}=3a+ \frac{1}{2} (2b - 4a)

\vec{XY}=3a+ b - 2a \\ \vec{XY}=a+ b

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