calculs 3

Note: please write down the Answer by hand on paper and also write each answer with the number of the questions

1. (a) Find the area of the triangle with vertices P(1, 4, 6), Q(-2, 5, -1), and R(1, -1, 1). (b) Find the volume of the parallelepiped with adjacent edges representing the vectors 22 - 7 + 3k, i+ 27 - 4k, and 27 - 27 + k2. (a) Find the angle between the planes x ty + z =1, and x - 2y + 3z = 1. (b) Find the equation of the plane through the point (2,1,1) and containing the line L. L : x = t - 1, y = 2t + 1, z = -t+1