Lobjectif de cet exercice est de calculer l'aire du triangle \( A B C \). 1. (a) Montrer que le vecteur \( \vec{n}\left(\begin{array}{c}3 \\ 6 \\ -2\end{array}\right) \) est normal au plan (ABC).

The coordinates of triangle \( A B C \) are \( A\left(-4 \frac{1}{2},-2 \frac{1}{2}\right), B\left(-4 \frac{1}{2},-1\right) \), and \( C(6,-1) \) a. What is the distance between points A and \( B \) ? b. Give the coordinates for two points that are 4 units from point \( C \).

\begin{tabular}{l}6.2 A cylinder has a radius of 7 cm and height of 10 cm . \\ C.2.1 Calculate the volume of the cylinder. (if \( \pi=3,14 \) ) \\ \hline\end{tabular}

a. Points A and B are 1.5 units apart. (Type an integer, fraction, or mixed number.) b. Give the coordinates of one point that is 4 units from point \( C \) in the x-direction. \( \square \) (Type an ordered pair.)

We desea eartriif una cala sin lapa y que almacene dial mayor volumen. para ello se dispone de una lamina d carton con las siguientes medidas. \[ 10 \mathrm{~cm} \times 9 \mathrm{~cm} \]

\begin{tabular}{l} 6.2. A cylinder has a radius of 7 cm and height of 10 cm . \\ \( \square \) \\ \hline \( .2 .1 \quad \) Calculate the volume of the cylinder. (if \( \pi=3,14 \) ) \end{tabular}