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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 graph.What are the component form and magnitude of v?-example-1
User Konza
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1 Answer

3 votes

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

is given as:


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

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


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

Hence, the correct option is option B

User FishStix
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