1. Determine the distance between the point (4, 3, 2) and the plane y - 2 + s z = 3+s+1 a. 3.69 units c. 2.01 units b. 1.45 units d. 2.89 units x: 2 +1 I: 3+ 5 +1! 2. Determine the distance between the line y - 5 -t and the plane y - 2 - 5' -.l . z - 4 z - 1 + s t a. 2.33 units (2. 1.41 units b. 5.12 units d. 0.34 units 3. Determine the distance between the line [x.y, z] = [4, 5, 72] + ([1, I, 7]] and the plane [x,y, z] = [2, 4, 3] + s[3, 2, 0] + r[l, 0, 2]. a. 3.48 units c. 7.22 units b. 9.11 units d. 1.60 units 4. Determine the point of intersection of the three planes 1'12 x+ 3yz+ 9 = U I]: x-y+z- 11 - 0 1132 [xryr 2] = [19 0,1]+S[2,1, _1] + ([410; _l]- a. (1,4, 3) e. (5, 4, 2) b. (5,0, is) d. (5,11,712) 5. The point (1. k. 4) lies on the plane [x,y. z] = [1, 2, 0] +s[3, 0, l] + 112, *1, 1]. Find the value ofk. 6. Find a vector perpendicular to both E = [1, 2. 3] and 5; = [3. 2. l]. I Need full steps + answers written on papers. Please attach clean les. I need answers in about an hour. Thank you