14. [-/1 Points] DETAILS LARCALC11 11.5.096. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the distance between the point and the line given by the set of parametric equations. (Round your answer to three decimal places.) (8, -7, 8); x = 2t, y = t - 3, z = 2t + 2 Need Help? Read It Submit Answer 15. [0/1 Points] DETAILS PREVIOUS ANSWERS LARCALC11 11.5.106. MY NOTES ASK YOUR TEACHER The figure shows a chute at the top of a grain elevator of a combine that funnels the grain into a bin. Find the angle between two adjacent sides. (Round your answer to one decimal place.) 75.9 X 8 in 8 in 8 in 6 in. 6 in. Need Help? Read It Submit Answer Delete + FO FB F10 F12 2'5 Insen ESC 26 FI - F2 X FA Backspa @ FF S V 2 5 6 9 W O W E R K A S D GSubmit Answer 13. [-/1 Points] DETAILS LARCALC11 11.5.094. Verify that the two planes are parallel. -x +6y + 2z = 5 1x + 3y+2 = 6 2 Find the normal vector, n, , to -x + 6y + 2z = 5. n Find the normal vector, n,, to - _x + 3y + z = 6. 2 n Because n = n2 the planes are parallel. Find the distance between the planes. Need Help? Read It Submit AnswerSubmit Answer 11. [-/1 Points] DETAILS LARCALC11 11.5.082. Consider the following. 2x - y + z=4 Sketch a graph of the plane. . N y -4 12 12 -2 - 2 2 O N y -4 2 x 4 x 4 O O Label any intercepts. (If an answer does not exist, enter DNE.) x-intercept: (x, y, z) = ( y-intercept: (x, y, z) = ( z-intercept: (x, y, z) = ( Need Help? Read It10. [-/1 Points] DETAILS LARCALC11 11.5.066. MY NOTES ASK YOUR TEACHER PRACTICE ANOT Consider the following planes. -3x+ y+ z = 3 6x - 2y + 32 = 9 (a) Find the angle between the two planes. (Round your answer to two decimal places.) (b) Find a set of parametric equations for the line of intersection of the planes. (Use t for the parameter. Enter your answers as a comma-separated list of equations.) Need Help? Read It