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Question Number 88756 by mathocean1 last updated on 12/Apr/20

$$\mathrm{E}\mathrm{is}\mathrm{reported}\mathrm{in}(\overrightarrow{\mathrm{i}};\overrightarrow{\mathrm{j}})\mathrm{base}.$$$${\overrightarrow{\mathrm{e}}}_1=2\overrightarrow{\mathrm{i}}+3\overrightarrow{\mathrm{j}};{\overrightarrow{\mathrm{e}}}_2=\overrightarrow{\mathrm{i}}-2\overrightarrow{\mathrm{j}}\mathrm{and}{\overrightarrow{\mathrm{e}}}_3=4\overrightarrow{\mathrm{i}}-5\overrightarrow{\mathrm{j}}$$$$\mathrm{belong}\mathrm{to}\mathrm{E}.$$$$1)\mathrm{Determinate}\mathrm{the}\mathrm{cordonnates}\mathrm{of}{\overrightarrow{\mathrm{e}}}_3\mathrm{in}\mathrm{the}$$$$\mathrm{base}\mathrm{B}({\overrightarrow{\mathrm{e}}}_1;{\overrightarrow{\mathrm{e}}}_2).$$

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