Calculus 3

Consider the planes x + y + z = 1 and x - 2y + 3z = 1

a. Find the angle between the two planes

b. Find symmetric equations for the line of intersection of the two planes

The position of a particle in the xy plane at time t is $\vec{r}(t) = (t+1)\mathbf{i} \, + \, (t^2-1)\mathbf{j}$ Find an equation in x and y whose graph is the path of the particle. Then find the particle's velocity and acceleration vectors at t = 1.