B

The general plane \(\alpha \) has the equation \[ \alpha \colon 3z - 4 = 0 \] and the plane \(\beta \) has a normal vector \(\vec{n} = (0,0,1)\). Find the angle between \(\alpha \) and \(\beta \) and round your answer to the nearest degree.

Find the angle between the line \(p\) and the plane \(\alpha \). \[ \alpha \colon x-3z+5 = 0,\qquad \qquad \begin{aligned}[t] p\colon x& = 3, & \\y & = 3t, \\z & = 1 - t,\ t\in \mathbb{R} \\ \end{aligned} \] Round your answer to the nearest minute.

Given points \(A = [1,0,2]\), \(B = [1,0,0]\) and the plane \(\alpha \), \[ \alpha \colon 2x - 4y = 0, \] find the angle between the line \(AB\) and the plane \(\alpha \). Round your answer to the nearest minute.

The points \(A = [0,5,0]\), \(B = [5,5,0]\), \(C = [5,0,0]\) and \(D = [0,0,0]\) define the cube \(ABCDEFGH\). Find the angle between the line \(BF\) and the plane \(AFE\). Round your answer to the nearest minute.