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Mathematics 13 Online
OpenStudy (abmon98):

Vector Question

OpenStudy (abmon98):

OpenStudy (abmon98):

@ganeshie8

ganeshie8 (ganeshie8):

which question ?

OpenStudy (abmon98):

7

ganeshie8 (ganeshie8):

start something like below : AM = AO + OM = AO + OX/2 = AO + (OD+DX)/2 = ...

OpenStudy (abmon98):

AM=OM-OA i guess OM(0,4j,5k)

ganeshie8 (ganeshie8):

looks perfect!

OpenStudy (abmon98):

AM=(0,4j,5k)-(8i,0,0))=(-8i,4j,5k)

OpenStudy (abmon98):

AC=OC-OA=(0,8j,0)-(8i,0,0)=-8i,8j,0

ganeshie8 (ganeshie8):

hey wait, AM doesn't look correct

ganeshie8 (ganeshie8):

how did u get OM(0,4j,5k) ?

OpenStudy (abmon98):

i said that M is half the distance from D

ganeshie8 (ganeshie8):

notice that OM also has x component

ganeshie8 (ganeshie8):

AM = AO + OM = AO + OX/2 = AO + (OD+DX)/2 = (-8,0,0) + [(4,4,0) + (0,0,10) ]/2 = (-8,0,0) + [(4,4,10)]/2 = (-6,2,5)

OpenStudy (abmon98):

Oh i understand i will try out AC by myself AC=OC-OA =(0,8j,0)-(8i,0,0)=(-8i,8j,0)

ganeshie8 (ganeshie8):

looks good !!

OpenStudy (abmon98):

MAC=AM*AC=(-8*-6)+(2*8)+(5*0)=64 Cos(x)=64/((-6)^2+(2)^2+(5)^2)^1/2*((-8)^2+(8)^2)^1/2=0.701=45.44

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