Mathematics - Vector Question with Solution | TestHub

$\overrightarrow{\mathrm{d}}.\overrightarrow{\mathrm{c}}=\lambda \left[\begin{array}{lll}\overrightarrow{\mathrm{a}}& \overrightarrow{\mathrm{b}}& \overrightarrow{\mathrm{c}}\end{array}\right]+\mu .0+v.0$$\overrightarrow{\mathrm{d}}.\overrightarrow{\mathrm{a}}=\mu \left[\begin{array}{lll}\overrightarrow{\mathrm{a}}& \overrightarrow{\mathrm{b}}& \overrightarrow{\mathrm{c}}\end{array}\right]$$\overrightarrow{\mathrm{d}}.\overrightarrow{\mathrm{b}}=\mathrm{v}\left[\begin{array}{lll}\overrightarrow{\mathrm{a}}& \overrightarrow{\mathrm{b}}& \overrightarrow{\mathrm{c}}\end{array}\right]$$\overrightarrow{\mathrm{d}}.\left(\begin{array}{lll}\overrightarrow{\mathrm{a}}& \overrightarrow{\mathrm{b}}& \overrightarrow{\mathrm{c}}\end{array}\right)=\left[\begin{array}{lll}\overrightarrow{\mathrm{a}}& \overrightarrow{\mathrm{b}}& \overrightarrow{\mathrm{c}}\end{array}\right](\lambda +\mu +\mathrm{v})$$\lambda +\mu +\mathrm{v}=64$