Find an equation for the plane perpendicular to n = 7+4j - 2k that passes through the point (5,-3,0). Find a vector perpendicular to the plane given by the equation I 5(x-4) + 3(y + 3)-7(z-2)=0 Find a parametric equation for a particle moving in a straight line, starting at (0,0,0) and moving towards (3, 2, 1). Suppose another particle follows the path 2(t) = (t2,9-t, t). Does this particle's path intersect the path of the particle from part (a)? Find an equation for the line tangent to the curve r(t) = (3t, ln(t2+1), 5t + 2) at the time t = 3. If a particle moves with velocity (t) = (6t, cos(rt/2)) then what is the displacement between times t = 1 and t = 4?