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Question Number 103586 by aurpeyz last updated on 15/Jul/20

Answered by OlafThorendsen last updated on 16/Jul/20

$${\overrightarrow{\mathrm{F}}}_1+{\overrightarrow{\mathrm{F}}}_2+{\overrightarrow{\mathrm{F}}}_3+\overrightarrow{\mathrm{P}}=\overrightarrow{0}$$$${\overrightarrow{\mathrm{F}}}_3=-{\overrightarrow{\mathrm{F}}}_1-{\overrightarrow{\mathrm{F}}}_2-\overrightarrow{\mathrm{P}}$$$${\overrightarrow{\mathrm{F}}}_3=-\left(\begin{array}{c}-3\\ -25\\ 12\end{array}\right)-\left(\begin{array}{c}14\\ 16\\ 88\end{array}\right)-\left(\begin{array}{c}0\\ 0\\ -150\end{array}\right)$$$${\overrightarrow{\mathrm{F}}}_3=\left(\begin{array}{c}3-14\\ 25-16\\ -12-88+150\end{array}\right)$$$${\overrightarrow{\mathrm{F}}}_3=\left(\begin{array}{c}-11\\ 9\\ 50\end{array}\right)$$$${\overrightarrow{\mathbf{F}}}_3=-11\overrightarrow{i}+9\overrightarrow{j}+50\overrightarrow{k}$$

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