Chap13sec1

Chap13sec1 - 13.1 Vector Functions and Space Curves We have...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 13.1 Vector Functions and Space Curves We have studied functions, ( ) x f t = , that represent the position of a particle on a line. This notion can be extended to more than 1 dimension. Two functions are required to describe the position of a particle in two dimensions. In three dimensions, 3 functions are required. Consider the following two-dimensional vector function: 2cos ,sin 2 t t t = r . The x component of r is 2cos( ) t and the y component of r is sin( ) t . Hence, we can also describe the vector function by writing ( ) 2cos ( ) sin . x t t and y t t = = For each ( 29 , t t r corresponds to a point in the xy plane. You can graph ( ) t r by plotting these points for 2 t by using the parametric plot function on your calculator. The vector is from the origin to a point on the curve....
View Full Document

Page1 / 3

Chap13sec1 - 13.1 Vector Functions and Space Curves We have...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online