$$$3\cdot \left\langle - \frac{\sin{\left(t \right)}}{3}, - \frac{\cos{\left(t \right)}}{3}, 0\right\rangle$$$
Tu aportación
Calcular $$$3\cdot \left\langle - \frac{\sin{\left(t \right)}}{3}, - \frac{\cos{\left(t \right)}}{3}, 0\right\rangle$$$.
Solución
Multiplica cada coordenada del vector por el escalar:
$$${\color{Magenta}\left(3\right)}\cdot \left\langle - \frac{\sin{\left(t \right)}}{3}, - \frac{\cos{\left(t \right)}}{3}, 0\right\rangle = \left\langle {\color{Magenta}\left(3\right)}\cdot \left(- \frac{\sin{\left(t \right)}}{3}\right), {\color{Magenta}\left(3\right)}\cdot \left(- \frac{\cos{\left(t \right)}}{3}\right), {\color{Magenta}\left(3\right)}\cdot \left(0\right)\right\rangle = \left\langle - \sin{\left(t \right)}, - \cos{\left(t \right)}, 0\right\rangle$$$
Respuesta
$$$3\cdot \left\langle - \frac{\sin{\left(t \right)}}{3}, - \frac{\cos{\left(t \right)}}{3}, 0\right\rangle = \left\langle - \sin{\left(t \right)}, - \cos{\left(t \right)}, 0\right\rangle$$$A