Problem 1: Which of the following equations represents a plane
which is parallel to the plane...
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)
At which point the normal line that passes through the point (1,
-1,1) on the ellipsoid...
At which point the normal line that passes through the point (1,
-1,1) on the ellipsoid 2x2 + y2 + 2z2 = 5 crosses the xy coordinate
plane
1. Given an ellipsoid with equation
(x−5)^2 /16 +(y−10)^2/ 9+(z−6)^2/ 16= 1 and the plane with...
1. Given an ellipsoid with equation
(x−5)^2 /16 +(y−10)^2/ 9+(z−6)^2/ 16= 1 and the plane with equation
y = 19 find an equation for the curve of intersection of the two
given surfaces
2.Given vectors a and b, express the vector projection of b onto
a, indicated by p=PROJaB. Now use the decomposition b = projab +
orthab to solve for orthab, which is the vector component of b
which is orthogonal to a.