Calculate the acute angle, rounded to the nearest degree, formed by:
(a) the line \begin{cases} x &= 4t - 6\\ y &= 3 - 2t \\ z &= 7t - 6 \end{cases} and the line \begin{cases} x &= 4 + 3t \\ y &= -1 - 9t \\ z &= -8 \end{cases}
Answer:
(b) The line \vec{x} = \langle -8, -7, 5 \rangle + t \langle 9, 4, -6 \rangle and the line \vec{x} = \langle 9, 5, 5 \rangle + t \langle 6, -8, 5 \rangle
Answer:
(c) The plane $-4x - 7y - 7z = -26$ and the plane $4x + 2y + 7z = -8$
Answer:
(d) The line \vec{x} = \langle -5, 0, -1 \rangle + t \langle 1, -1, -7 \rangle and the plane $-7x - 3y - 6z = -20$
Answer: