Matematika Sekolah Menengah Atas tolong bantu jawab ya, mohon pengertiannya, Jangan ngasal​

lourdesbeierulv – June 10, 2023

tolong bantu jawab ya, mohon pengertiannya, Jangan ngasal​

Jawab:

[tex]\Large\text{$\begin{aligned}&\overrightarrow{XO}=-\tfrac{1}{2}\overrightarrow{u}+\tfrac{1}{2}\overrightarrow{v}\end{aligned}$}[/tex]

Penjelasan dengan langkah-langkah:

Vektor

[tex]\large\text{$\begin{aligned}&\overrightarrow{ZW}=\overrightarrow{u}\,,\ \overrightarrow{YZ}=\overrightarrow{v}\\\\&\overrightarrow{XO}=\tfrac{1}{2}\overrightarrow{XZ}\\&{\quad\;\:\,}=\tfrac{1}{2}\left(\overrightarrow{XY}+\overrightarrow{YZ}\right)\\&{\quad\;\:\,}=\tfrac{1}{2}\left(\overrightarrow{WZ}+\overrightarrow{YZ}\right)\\&{\quad\;\:\,}=\tfrac{1}{2}\left(-\overrightarrow{ZW}+\overrightarrow{YZ}\right)\end{aligned}$}[/tex]

[tex]\large\text{$\begin{aligned}&{\quad\;\:\,}=\tfrac{1}{2}\left(-\overrightarrow{u}+\overrightarrow{v}\right)\\\\&\boxed{\ \overrightarrow{XO}=-\tfrac{1}{2}\overrightarrow{u}+\tfrac{1}{2}\overrightarrow{v}\ }\end{aligned}$}[/tex]

Jawaban:

Diketahui :

ZW = U

YZ = U

Ditanyakan :

Vektor XO

Dijawab:

XO = ½(XZ)

½(-ZW + YZ)

½(-u + u)