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Question Number 127566 by Ar Brandon last updated on 30/Dec/20

Answered by bramlexs22 last updated on 30/Dec/20

$$(\overrightarrow{\mathrm{a}}+\overrightarrow{\mathrm{b}})\times (\overrightarrow{\mathrm{a}}-\overrightarrow{\mathrm{b}})=\overrightarrow{\mathrm{a}}\times \overrightarrow{\mathrm{a}}-\overrightarrow{\mathrm{a}}\times \overrightarrow{\mathrm{b}}+\overrightarrow{\mathrm{b}}\times \overrightarrow{\mathrm{a}}-\overrightarrow{\mathrm{b}}\times \overrightarrow{\mathrm{b}}$$$$[\overrightarrow{\mathrm{a}}\times \overrightarrow{\mathrm{a}}=0;\overrightarrow{\mathrm{a}}\times \overrightarrow{\mathrm{b}}=-\overrightarrow{\mathrm{b}}\times \overrightarrow{\mathrm{a}}]$$$$=0+2\left(\overrightarrow{\mathrm{b}}\times \overrightarrow{\mathrm{a}}\right)-0=2\left(\overrightarrow{\mathrm{b}}\times \overrightarrow{\mathrm{a}}\right)$$

Commented by Ar Brandon last updated on 31/Dec/20

Thanks

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