Register to reply

Parametric vector form of the line

by ronho1234
Tags: form, line, parametric, vector
Share this thread:
ronho1234
#1
Apr28-12, 08:49 PM
P: 34
The parametric vector form of the line 1
 is given as r1 = u1 + rv1 (r element of real field)
where u1 is the position vector of P1 = (1,1,−3) and v1=vectorP1P2

where
P2 = (3,3,−2) .
The parametric vector form of the line 2
 is given as r2 = u2 + sv2 (s element of real field)
where 2 u is the position vector of P3 = (−2,0,2) and
v2= −j− k .
(a) Give the parametric scalar equations of the lines l1
 and l2
 .
(b) Find the unit vector n with negative i component which is perpendicular to
both l1
 and l2

(c) The shortest distance between two lines is the length of a vector that
connects the two lines and is perpendicular to both lines. For l1
 and l2

this is expressed in the vector equation 2 1
r −r = tn where t element of real field is a
parameter. Write this equation as 3 scalar equations and hence obtain a
system of three linear equations for the three parameters r, s and t .
(d) Solve this system of equations for r, s and t and hence find the shortest
distance between the two lines 1
 and 2
 .
(e) Find the point Q on line 1
 which is closest to line 2

I've done bits and pieces of the question bu i'm especially stuck on parts c d and e. please help thank you
Phys.Org News Partner Science news on Phys.org
World's largest solar boat on Greek prehistoric mission
Google searches hold key to future market crashes
Mineral magic? Common mineral capable of making and breaking bonds

Register to reply

Related Discussions
Need some help with vector and parametric form Calculus & Beyond Homework 11
Finding a point where a line in parametric form meets a plane Calculus & Beyond Homework 1
Finding the parametric form of a tangent line... vectors Calculus & Beyond Homework 2
Equation of a plane given point and line in parametric form Calculus & Beyond Homework 3
Parametric Vector Form Calculus & Beyond Homework 2