MTH 3050 :11.5 Lines and Planes in Space | 2026 Update - Baruch College, CUNY

11.5 LinesandPlanes in Space

we use dot product and cross product to
construct lines and planes in space lR3


Let's start with Ba

Aline in IR is described a linear equation
by
A Xt C 0 Linear relations
By
mare general than
y mXtb alsoinclude
the vertical tires X ate mx ytb 0
We can also describe a line using PARAMETRIC
EQUATIONS




Let
y
I att I

R multiplesofa21

y e 2ft t 1,2 t COI
reference
director point
↳
To sum up To define a straight line we need


A reference point Vo ORTWOPOINTS
-



A direction so a vector =
w

, Dicellhis thedifference
QD 1 1
Con 2.0 2,1
of y
fHad