Find the parametric equation with t, as the independent variable for the lines o
ID: 3372374 • Letter: F
Question
Find the parametric equation with t, as the independent variable for the lines of intersection.
0x+-3y+2z=0
23x+-17y+-4z=0
2. Find the general form of the equation of the Plane that contains the three points (-31,-23,-13) (2,-29,-3) (17,5,-11)
3. Find the projection of w onto v expressed as a linear combination of the unit vector I,j,k
W <17,5,-11>
V <2,-29,-3>
4.find the area of the pallallelogr am that has w and u as adjacent sides
W<17,5,-11> u<-31,-23,-13>
5.find the volume of the parallelpiped with vectors u,v,w as adjacent sides ... The vectors are the same as the ones in the top
Explanation / Answer
3.projection of w on v=(w.v )(vectorv)/(/v/^2)
4.ara of parallelogram=magnitude(vec(w)*vec(u))=mag(crossproduct(w,u)
5.volume of paralleopiped= V = | u . (v x w) I .--dot product x--cross product
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