Q .3. - Calculus

Question

State the definition of the dot product. 

Step-by-Step Solution

Answer

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

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

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