In Exercises 11-16, describe the set in cylindrical coordinates. 13. y²+2² 4, x=0

In Exercises 11-16, describe the set in cylindrical coordinates. y 2 + z2 < 9, X > y

Derive the relation betueen unit Vectors of Glindrical and Cartesian Coordinates?

How do you find the projection of a point onto the xz-plane?

Find a parametric representation of a straight line through (1,1,1) and (4,0,2), and sketch it.

Give a geometric description of the set of points (x, y, z) satisfying the pair of equations z = 0 and x2 + y2 = 1. Sketch a figure of this set of points.

Convert the point (−7, 0, 5) from cylindrical coordinates to rectangular coordinates

Describe the set of all points P(x,y) in a coordinate plane that satisfy the given condition.

Find a parametric representation of a straight line through (1,1,1) and (4,0,2), and sketch it using x,y,z axis.

Represent the line segment from P(−2, −3, 8), Q(5, 1, −2) by a vector-valued function and by a set of parametric equations.