the highlight separates questions. Please answer all and show all work on paper

Determine the intersection point of the line y I +2t and the plane 101+6Y+ 8240 O. The two planes are parallel. Find the value of k. y 3 25+t lt2: 4x+ky 62+ 0 In three-space. find tlr distance between the skew lines [x y, 11.0. Round your answer to 2 decimal places if necessary. In three-space, find the intersection point of the two lines: x 1+2t x3+2t and y = 2 + t z=2+3t Write the scalar equation of the plane perpendicular to the xy-plane and passing through the point (4, 2, I