Homework Sourse5x 4y z 88 x 8y 2z 0 aFind the angle between the two p
5x + 4y ? z = 88
x ? 8y + 2z = 0
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. (Enter your answers as a comma-separated list.)
x ? 8y + 2z = 0
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. (Enter your answers as a comma-separated list.)
Solution
5x + 4y + z = 88
x +8y + 2z = 0
b)parametric equation
<5,4,1>
< 1,8,2>
a) cos =(5.1+4.8+1.2)/(52+42+12).(12+82+22)=39/42.69=0.724
=cos-1(0.724)=43.570
