Part A Given A(0,2,3) B(1,0,2), C(0,0,1), (1) find AB (2) find the midpoint of the line segment BC (3) write an equation of the sphere with center A and radius 3

Q: Project: S is a surface in R° with equation x² +y² – z² = 1. The point P (2,1,2) lies on this…

A: Clearly : x-z = 0 and y+1 = 2. So, we can write: 1.(x-z) = 0.(y+1). So, L1 can be written…

Q: Use the parameter to write parametric equations representing the given curve. Hyperbola with center…

A: Step 1:

Q: Write the equation of the sphere in standard form. 9x? + 9y? + 9z2 = 36x – 12y – 24

A: The givne equation of the sphere is 9x2+9y2+9z2=36x-12y-24

Q: Find the parametric equations and the symmetric equations of the line that passes through the points…

A: Given: A line is passing through the points P-1, 4, 3 and Q8, 10, 5.

Q: Find an equation of the sphere that passes through the origin and whose center is (3, 4, 2). Need…

A: First we have to write general equation of sphere.

Q: Write the equation of the sphere in standard form. 2x² + 2y² + 2z² = 4x - 20z + 1 Find its center…

A: The equation of the sphere is  2x2+2y2+2z2=4x-20z+1

Q: Write the equation of the sphere if (3, 4, 7) and ( - 5, 6, – 3) are the end points of a diamter of…

A: (3,4,7) and (-5,6,-3) are the end points of the diameter of a sphere.

Q: An ant is walking around an ellipse (as seen below). The ant starts at the top and walks around in a…

A: Given: An ant is walking around an ellipse. The ant starts at the top and walks aroundin a clockwise…