Chan Hodges
07/29/2023 · Elementary School
2. В параллелограмме \( A B C D \) на сторонах \( C D \) и \( A D \) отмечены со ветственно точки \( P \) и \( K \) так, что \( C P: P D=2: 3, A K: K D=1: 2 \). В разите векторы \( \overrightarrow{C K} \) и \( \overrightarrow{P K} \) через векторы \( \vec{b}=\overrightarrow{B C} \) и \( \vec{a}=\overrightarrow{B A} \).
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Quick Answer
Векторы \( \overrightarrow{CK} \) и \( \overrightarrow{PK} \) можно выразить через векторы \( \vec{a} \) и \( \vec{b} \) следующим образом:
\[
\overrightarrow{CK} = -\vec{a} - \frac{2\vec{b}}{3},
\]
\[
\overrightarrow{PK} = -\vec{a} - \frac{4\vec{b}}{3}.
\]
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