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Chapter 10: Q. 8 (page 777)

What is the definition of a cylinder? What is the directrix?

What is a ruling?

Short Answer

Expert verified

A cylinder has two distant parallel circular bases which are connected with a curved surface at a fixed distance from centre.

Step by step solution

01

Step 1. Definition of a cylinder

One of the fundamental three-dimensional shapes in geometry is the cylinder, which has two distant, parallel circular bases. At a fixed distance from the center, a curved surface connects the two circular bases.

02

Step 2. Definition of a directrix

The curve C of a cylinder is termed to be its directrix

03

Step 3. Definition of a ruling

Rulings are the lines pf a cylinder that pass through a given plane curve and are parallel to the given line L

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Most popular questions from this chapter

Find PQ鈬赌

P=5,-3,Q=3,-6

What is meant by the parallelogram determined by vectors u and v in 鈩�3? How do you find the area of this parallelogram?

In Exercises 36鈥�41 use the given sets of points to find:

(a) A nonzero vector N perpendicular to the plane determined by the points.

(b) Two unit vectors perpendicular to the plane determined by the points.

(c) The area of the triangle determined by the points.

P(2,鈭�5,1),Q(鈭�4,5,8),R(鈭�1,鈭�5,3)

Find u+vandu-valso sketch u,v,u+v,u-v

role="math" localid="1649603943715" u=3,6,11andv=1,-2,3

What is meant by the triangle determined by vectors u and v in 鈩�3? How do you find the area of this triangle?
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