Register to reply

Vector question

by batballbat
Tags: vector
Share this thread:
batballbat
#1
Nov17-11, 11:33 PM
P: 127
can all vectors have projection on an arbitrary line? What if the vector and the line do not intersect and are not parallel (i.e. they cannot lie on the same plane).
Phys.Org News Partner Mathematics news on Phys.org
Professor quantifies how 'one thing leads to another'
Team announces construction of a formal computer-verified proof of the Kepler conjecture
Iranian is first woman to win 'Nobel Prize of maths' (Update)
HallsofIvy
#2
Nov18-11, 07:42 AM
Math
Emeritus
Sci Advisor
Thanks
PF Gold
P: 39,502
Yes, if you allow the zero vector as a projection. for example, a vector pointing along the x-axis has the 0 vector as its projection on the y-axis.

For an example where "the vectors do not intersect and are not parallel" but lie along skew lines, consider a vector pointing along the x-axis and the line given by the parametric equations x= t, y= t, z= 1. The projection is again the 0 vector.


Register to reply

Related Discussions
Why is the derivative of a vector-valued function a vector field? (+ 1 more question) General Math 13
Vector question Introductory Physics Homework 17
Can all vector fields be described as the vector Laplacian of another vector field? Calculus 5
Vector question Introductory Physics Homework 4
Vector question: i, j, k General Math 4