Problem 1: Which of the following equations represents a plane which is parallel to the plane
36?−18?+12?=30
and which passes through the point (3,6,1) ?
a). 6?−3?+2?=3
b). 6?+3?−2?=34
c). 36?+18?−12?=204
d). 6?−3?+2?=2
e). 36?+18?+12?=228
Problem 2: At which point(s) does the helix r
(t)=〈cos??/4, sin??/4, ?〉 intersect the sphere ?2+?2+?2=5 ?
a). (0,1,2) and (0,−1,−2)
b). (−1,0,4) and (−1,0,−4)
c). (1,0,4) and (−1,0,−4)
d). (0,1,−1) and (0,1,1)
e). (0,1,−1) and (0,−1,1)
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