For any three vectors and prove that [a b c]^2 = vmatrix a a & a b & a c b a & b b &…

MATHEMATICS · Subjective · CBSE · Mathematics · Vector Algebra · Vector Algebra

Problem

For any three vectors

a, b

and

c

prove

\text{that } [a b c]^2 = \begin{vmatrix} a \cdot a & a \cdot b & a \cdot c \\ b \cdot a & b \cdot b & b \cdot c \\ c \cdot a & c \cdot b & c \cdot c \end{vmatrix}