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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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