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Mathematics 11 Online
OpenStudy (anonymous):

fasrgsdghd

OpenStudy (anonymous):

the is the answer i got was <-3/sqrt109,-10/sqrt109> but apparently thats wrong

OpenStudy (anonymous):

@surjithayer

OpenStudy (anonymous):

find vector AB \[find~ \left| vector~ AB \right|\] \[then~ unit~vector~\in~the~direction~of~AB=\frac{ vector~AB }{ \left| vector ~AB \right| }\]

OpenStudy (anonymous):

ok so it would be <-3,-10>/sqrt109

OpenStudy (anonymous):

Vector AB=<0-3,-5-(-5)>=<-3,0> \[\left| vector ~AB \right|=\sqrt{\left( -3 \right)^2+0^2}=3\] now you can write.

OpenStudy (anonymous):

<-1,0>?

OpenStudy (anonymous):

correct.

OpenStudy (anonymous):

yup thats it thanks. i do have another question though. The unit vector oppositely directed to i is? The problem never mentions what vector i is so what should i do?

OpenStudy (anonymous):

never mind i got it. vector i is the unit vector. i totally forgot

OpenStudy (anonymous):

if you want unit vector in opposite direction to this vector is <1,0>

OpenStudy (anonymous):

no it was asking for the opposite of <1,0> which is <-1,0>

OpenStudy (anonymous):

i do have another question if you can help me?

OpenStudy (anonymous):

correct.

OpenStudy (anonymous):

find (1/magnitude of vector w)(vector w). vector w=−4i+4j=<-4,4>

OpenStudy (anonymous):

what i got is (1/4sqrt2)(<-4,4>)=<-sqrt2,sqrt2> but this is wrong

OpenStudy (anonymous):

\[\frac{ 1 }{ \left| vector~w \right| }vector~w=\frac{ -4i+4j }{ 4\sqrt{2} }=-\frac{ 1 }{ \sqrt{2} }i+\frac{ 1 }{\sqrt{2}}j\]

OpenStudy (anonymous):

you got it.

OpenStudy (anonymous):

thanks

OpenStudy (anonymous):

yw.

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