3.- Dados los siguientes vectores:

 \(\vec{a}\)=  \(4i-3j+k\) y
\(\vec{b}\)=\(-i+j+4k\).

Calcule \(\vec{a}\)\(\cdot\)\(\vec{b}\)\(\vec{a}\)\(\vec{b}\).

\(\vec{a}\)\(\cdot\)\(\vec{b}\)\(\left(4\right)\left(-1\right)i+\left(-3\right)\left(1\right)j+\left(1\right)\left(4\right)k\)\(-3\)
       
\(\vec{a}\)\(\vec{b}\)\(i\left(-3\right)\left(4\right)-\left(1\right)\left(1\right)-j\left[\left(4\right)\left(4\right)-\left(1\right)\left(-1\right)\right]+k\left(4\right)\left(1\right)-\left(-3\right)\left(-1\right)\)=  \(-13i\ -17j+k\)