MabelA496132 MabelA496132
  • 25-10-2022
  • Mathematics
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Vector v is shown in the graph.What are the component form and magnitude of v?

Vector v is shown in the graphWhat are the component form and magnitude of v class=

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OsborneA596830 OsborneA596830
  • 25-10-2022

The component form is given as < x, y > while the magnitude of a component vector

is given as:

[tex]|v|=\sqrt[]{x^2+y^2}[/tex]

The magnitude of the vector (5, -12) will be:

[tex]\begin{gathered} |v|=\sqrt[]{(-5)^2+12^2} \\ |v|=\sqrt[]{25+144} \\ |v|=\sqrt[]{169} \\ |v|=13 \end{gathered}[/tex]

Hence, the correct option is option B

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