A few days ago
SHRIVES23

Intersection points of three planes?

I need help on this…

a) Give an example of 3 planes that have a common line of intersection

b) Give an example of 3 planes that intersect in pairs but have no common point of intersection

c) Give an example of 3 planes, exactly two of which are parallel

d) Give an example of 3 planes that intersect in a single point

Top 2 Answers
A few days ago
Anonymous

Favorite Answer

(a)

z = 2y

z = 3y

z = 4y

all intersect along the x-axis.

(b)

z = 0

z = y

y = 5.

(c)

z = 3

z = 4

are parallel to each other, but not to

y = 3.

(d)

x = 0

y = 0

z = 0

all intersect at the origin.

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A few days ago
William R
d. corner of a cube
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