exam1i - Math 2313, Test I Name _ 1. Find the parametric...

Math 2313, Test I
Name ___________________________
1. Find the parametric equations of the line:
a. perpendicular to the plane 2 x - 3 y + 4 z - 8 = 0 and through the
point (2 , 0 , 1)
b. through the points (0 , 1 , 0) , (2 , 0 , 2).
2. Find the angle between the two planes x - y - z = 5 and x + 2 y = 7.
1

3. If r ( t ) = < sin ( πt
3
) , cos ( πt
3
) , t
3
> , find r
′
( t ) .