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ential Calcul 2nd Ec x C Chegg Study Guided Sc x 20170212 113956 HD x ential Cal

ID: 2880577 • Letter: E

Question

ential Calcul 2nd Ec x C Chegg Study Guided Sc x 20170212 113956 HD x ential Calcul 2nd Ee x E untitled document Goc x c Dropbox, Inc (US) https://www. dropbox.com/home? preview 20170212 113956 HDRjpg PM Apps WebA OGIN PAWS E oo En hts YouTube N Netflix Moodle e Books Home Dropbox C Home I chegg.com .k d21 wolframlAlpha: Comp E Google Docs M Gmail 1. Ir the expres inn is mesninarul cunte whouarr uae ult ts a vector or n alar. it ful, explo in why 3. Find su equation for the line rough thr point Rds, 4. t) and pandicalar to both i 2 and k 4. Find a monzero vector orthogonal to the plane through the points P(2,-3,1) Q(4 and 20-1 2) and give the area of the paral outlined by the vectors PQ and PR 3 of 3 26% 41 AM 2/12/2017

Explanation / Answer

ANSWER

3) A point vector on the line: (3,4,5)

A direction vector: ( i + 2j ) cross product ( j - k ) = (1,1,0) cross product ( 0,1,-1 )

=( -i + j + k )

vector equation:r(t)=( 3,4,5) + t( -1,1,1)

=(3-t , 4+t ,5+t )

parametric form: x=3-t , y=4+t , z=5+t

ANSWER

2) we have two given points (1,2,3) and (2,5,-2)

then the direction vector is ( 2-1, 5-2, -2-3) = (1, 3, -5)

hence,the equation of the line is ( i+3j -5k )

vector form is (2,5,-2 )+ t(1,3,-5) = ( 2+t, 5+3t, -2-5t )

parametric form:   x=2+t , y=5+3t , z=-2-5t