Mathematics - Vector Question with Solution | TestHub

Let the vectors$\overrightarrow{\mathrm{a}},\overrightarrow{\mathrm{b}},\overrightarrow{\mathrm{c}}$be such that$\left|\overrightarrow{\mathrm{a}}\right|=2,\left|\overrightarrow{\mathrm{b}}\right|=4$and$\left|\overrightarrow{\mathrm{c}}\right|=4.$If the projection of$\overrightarrow{\mathrm{b}}$on$\overrightarrow{\mathrm{a}}$is equal to the projection of$\overrightarrow{\mathrm{c}}$on$\overrightarrow{\mathrm{a}}$and$\overrightarrow{\mathrm{b}}$is perpendicular to$\overrightarrow{\mathrm{c}},$then the value of$|\overrightarrow{\mathrm{a}}+\overrightarrow{\mathrm{b}}-\overrightarrow{\mathrm{c}}|$is$\dots$