BTM Stock Price Just Hit $100—Investors Are Racing to Cash In Before It Plummets!

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BTM Stock Price Just Hit $100—Investors Are Racing to Cash In Before It Plummets!

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Question: Find the value of $x$ so that the vectors $\begin{pmatrix} 2 \\ x \\ 3 \end{pmatrix}$ and $\begin{pmatrix} x \\ -1 \\ 4 \end{pmatrix}$ are orthogonal.
Two vectors are orthogonal if their dot product is zero:
\begin{pmatrix} 2 \\ x \\ 3 \end{pmatrix} \cdot \begin{pmatrix} x \\ -1 \\ 4 \end{pmatrix} = 2x + x(-1) + 3(4) = 2x - x + 12 = x + 12 = 0

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