(1) Find parametric equations for the line through the point \( (-6,1,2) \) and the point of intersection line \( \frac{x+4}{1}=\frac{y-1}{-2}=\frac{z}{5} \) with plane \( x-3 y+2 z=10 \)

Calcular el volumen de un cilindro dado si se corta a través de su dirección vertical, formando cross sections semicirculares con un diámetro de 6 unidades.

Select all of the options which are true of the perpendicular bisector of line AB. It is a fixed distance from line AB It meets line AB at \( 90^{\circ} \quad \) It passes through \( A \) It meets line AB at \( 180^{\circ} \) It passes through B It does not meet line AB

A right triangle has one angle measuring 45 degrees. If the length of one leg is 7 units, calculate the length of the other leg.

elect all of the options which are true of the perpendicular bisector of line AB

\( \begin{aligned} \text { B.ea } & =l \times b \\ & =8 \times 3 \\ & =24 \mathrm{~cm}\end{aligned} \)