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PIT_PIT [208]
3 years ago
15

Vector u has its initial point at (17, 5) and its terminal point at (9, -12). Vector v has its initial point at (12, 4) and its

terminal point at (3, -2). Find ||3u − 2v||. Round your answer to the nearest hundredth.
Mathematics
1 answer:
Ratling [72]3 years ago
3 0

\bf \vec{u}~~ \begin{cases} (17,5)\\ (9,12) \end{cases}\implies \implies \stackrel{\textit{component form}}{} \\\\\\ \vec{v}~~ \begin{cases} (12,4)\\ (3,-2) \end{cases}\implies \implies \stackrel{\textit{component form}}{} \\\\[-0.35em] ~\dotfill

\bf 3\vec{u}\implies 3\implies  \\\\\\ 2\vec{v}\implies 2\implies  \\\\\\ 3\vec{u}-2\vec{v}\implies -\implies + \\\\\\ \implies  \\\\[-0.35em] ~\dotfill\\\\ ||3\vec{u}-2\vec{v}||\implies ||||\implies \sqrt{(-16)^2+33^2} \\\\\\ \sqrt{1345}\implies 36.67

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