4. - Determine the distance between the point (4, 3, 2) and the plane y = 2 + 5 z = 3 + 5' +2 a. 3.69 units c. 2.01 units b. 1.45 units d. 2.89 units 2: = 2 +: x = 3 + s + I Determine the distance between the line y = 5 t and the plane y = 2 - s - t . z = 4 z = l + s t a. 2.33 units c. 1.41 units b. 5.12 units d. 0.34 units Determine the distance between the line [x, y, z] = [4, 5, 2] + t[1, l, l] and the plane [x, y, z] = [2, 4, 3] + s[3, 2, 0] + t[1,0, 2]. a. 3.48 units c. 7.22 units b. 9.11 units d. 1.60 units Determine the point of intersection of the three planes I11x+3y-z+ 9 = 0 1:3: xy+z 11 = 0 1:3:[x,y, z] = [1, 0,1]+ s[2, 1, l] + ([4, 0, 1]. a. (1, 4, 3) c. (5, 4, 2) b. (5,0, 5) d. (5, ll, 12) 5. The point (1, k, 4) lies on the plane [x, y, z] = [1, 2, 0] + s[3, 0, l] + t[2, l, 1]. Find the value ofk. 6. Find a vector perpendicular to both 3 = [1, 2, 3] and 3-; = [3, 2, 1]