help me solve these please

D Question 1 1 pts Find the point at which the line with the vector equation r(t) = (1, 0, -2) + t(2, -1, 1) intersects the plane x - 3y - z = 7. O (-3, 2, -4) O (-1, 1, -3) O (3, -1, -1) O (5, -2, 0) D Question 2 1 pts At how many points do the space curves ri (t) = (t2, 1 - t2, t + 1) and r2 ($) = (1 - $2, s, s) intersect? OO O 1 O 2 0 3 D Question 3 1 pts Which of the following vector functions describe the curve of intersection between the hyperbolic paraboloid z = y2 - a2 and the cylinder a2 + y2 = 4? Or(t) = (2 cos(t), 2 sin(t), -4 cos(2t)) Or(t) = (t, v4 -tz, 4- 2+2) O r(t) = (2 sin(t), 2 cos(t), -4cos(2t) ) Or(t) = (-V4 -th, t, 2+2 - 4)