Vector playground

<p>When adding two vectors \(\overrightarrow{AB}\) and \(\overrightarrow{BC}\):</p>
<p style="text-align: center">\(\overrightarrow{AB} + \overrightarrow{BC} = \overrightarrow{AC}\)</p>
<div class="content-block"><figure class="question-figure aligncenter" style="text-align: center;"><img src="https://vocwkpgapvksartxhhor.supabase.co/storage/v1/object/sign/question-images/pasted/1768017298670-yhdx2oarta9.png?token=eyJraWQiOiJiZTM3ZjNhZS05OWM4LTQ5ZGQtYjRiNS1iMTBhYmJhNjY5MWYiLCJhbGciOiJIUzI1NiJ9.eyJ1cmwiOiJxdWVzdGlvbi1pbWFnZXMvcGFzdGVkLzE3NjgwMTcyOTg2NzAteWhkeDJvYXJ0YTkucG5nIiwic2NvcGUiOiJkb3dubG9hZCIsImlhdCI6MTc5MzAwNzg3NCwiZXhwIjoxNzkzMDA4MTc0fQ.ZWOa2Ob3QcAca6fnBxSw7b20JetA52m2gJCL1ABQc3g" style="max-width: min(250px, 100%); height: auto; display: block;" class="aligncenter custom-width" /></figure></div>
<p>For any two column vectors, \(\mathbf{m} = \begin{pmatrix} p \\ q \end{pmatrix}\) and \(\mathbf{n} = \begin{pmatrix} r \\ s \end{pmatrix}\), then</p>
<p style="margin-left: 12.5rem"> \(\mathbf{m} + \mathbf{n} = \begin{pmatrix} p + r \\ q + s \end{pmatrix}\)</p>
<div class="content-block"><figure class="question-figure aligncenter" style="text-align: center;"><img src="https://vocwkpgapvksartxhhor.supabase.co/storage/v1/object/sign/question-images/pasted/1768017413398-tm132ryzl6.png?token=eyJraWQiOiJiZTM3ZjNhZS05OWM4LTQ5ZGQtYjRiNS1iMTBhYmJhNjY5MWYiLCJhbGciOiJIUzI1NiJ9.eyJ1cmwiOiJxdWVzdGlvbi1pbWFnZXMvcGFzdGVkLzE3NjgwMTc0MTMzOTgtdG0xMzJyeXpsNi5wbmciLCJzY29wZSI6ImRvd25sb2FkIiwiaWF0IjoxNzkzMDA3ODc0LCJleHAiOjE3OTMwMDgxNzR9.qqlCtVi1pIMb5XCdcsZWlxnMIIz2lNDIPuFda6WGIHM" style="max-width: min(500px, 100%); height: auto; display: block;" class="aligncenter custom-width" /></figure></div>

When adding two vectors \(\overrightarrow{AB}\) and \(\overrightarrow{BC}\):

\(\overrightarrow{AB} + \overrightarrow{BC} = \overrightarrow{AC}\)

For any two column vectors, \(\mathbf{m} = \begin{pmatrix} p \\ q \end{pmatrix}\) and \(\mathbf{n} = \begin{pmatrix} r \\ s \end{pmatrix}\), then

 \(\mathbf{m} + \mathbf{n} = \begin{pmatrix} p + r \\ q + s \end{pmatrix}\)

Vector Addition

Vector Addition

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