Let the Vector $\vec{t}=\left(x_{1}, y_{1}, x_{2}, y_{2}, x_{3}, y_{3}\right)$ Describe a Triangle with Vertices At

Short Answer

Let the vector $\vec{t}=\left(x_{1}, y_{1}, x_{2}, y_{2}, x_{3}, y_{3}\right)$ describe a triangle with vertices at $\left(x_{1}, y_{1}\right)$ , $\left(x_{2}, y_{2}\right)$ , and $\left(x_{3}, y_{3}\right)$ . If the triangle $\vec{u}=(4,2,6,2,4,4)$ is rotated through an angle of $30^{\circ}$ clockwise about the origin, what is the resulting vector? Round each entry to 2 decimal places.