Problem 100. A projectile is fired from the origin (0, 0,0) with velocity v = (1, 1, 1). What time and where is it going to hit the plane cty+= =6? Problem 101. A projectile is fired from the origin (0, 0,0) with velocity v = (-1, 1,0). Does it evaer hit the plane rty+z=6? Problem 102. A projectile is fired from the origin (0, 0). Find the velocity v such that |v| = 1 and the projectile will impact the parabola y= r' - 4r + 9 at exactly one point. Problem 103. A plane is flying along the trajectory R(t) = (cos(t), sin(t), t) . At time t = 3 it releases a projectile with the velocity twice larger than the velocity of the plane at that time. Find the description of the path the projectile will follow. Problem 104. With the notation of the previous problem, what is the earliest time that the projetile should be released so that it does not hit the plane aty = 5