CALCULUS Understanding
Its Concepts and Methods
CALCULUS Understanding
Its Concepts and Methods
Line
Some forms the equation for a line in the
plane can take
are:
Some forms equations for a line in 3-dimensional
space can take
are:
The equation for a line in the plane or in
space can be written in vector
form
where
is a vector parallel to the line and
for
some point on the line. Equations of the line through the point
or
parallel to the vector
or
may be written in the following forms:
Vector equation in the plane:
Vector equation in space:
If a line in space makes angles
,
,
with the coordinate axes, then the vector
of direction cosines is parallel to the line
and has length
.
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Copyright © 2006 Darel Hardy, Fred Richman, Carol Walker, Robert Wisner. All rights reserved. Except upon the express prior permission in writing, from the authors, no part of this work may be reproduced, transcribed, stored electronically, or transmitted in any form by any method.