Question

State the definition of the dot product.

Short answer

$\text{given by}\mathbf{u}·\mathbf{v}=u_1{v}_1+u_2{v}_2$

Step-by-step solution

Step 1:Given information

$\text{Consider the two vectors}\mathbf{u}\text{and}\mathbf{v}$

Step 2:Definition

If $u$ and $v$are the vectors in $R^\left\{3\right\}$ such that

Then dot product is

$\mathbf{u}.\mathbf{v}=u_1{v}_1+u_2{v}_2+w_1{w}_2.$