Analytic Geometry Answers

m=( -7+(-2 )/2, 3+(-3)/2

Coplanar points are points on the same plane. X, Y, Z are coplanar points.therefore

1.  An archeologist found the remains of an ancient wheel, which she then placed on a grid. If an arc of the wheel passes through A(-7,0), B(-3,4) and C(7,0), located the center of the wheel, and the standard equation of the circle defining its boundary. 

Show that the closed sphere with centre (1,3,5) and radius 8 in R³ is contained in the

open cube

P ={(x, y, z): | x -1| <10, | y - 3 | < 10, | z - 5 | <10}.

Find the cylindrical coordinates of the points where the Cartesian coordinates are :

(√5, 1,2)

Find the cylindrical coordinates of the points where the Cartesian coordinates are :

(3, 3,4)

Express the following surfaces in spherical coordinates:

y² +z² -x² = 1

Express the following surfaces in spherical coordinates :

yz=2

Find the intersection of the line and plane:

3y−x+z=−4,r(t)=⟨−1,2,1⟩+t⟨−2,−3,1⟩

3y−x+z=−4,r(t)=⟨−1,2,1⟩+t⟨−2,−3,1⟩

P=(

P=(  , , )