Find the vector z, given u=, v= and w=. z=-7u+v-(1/5)w

Question

Find the vector z, given u=<-1,3,2>, v=<1,-2,-2> and w=<5,0,-5>. z=-7u+v-(1/5)w

amistre64 · Answer

define -7u componentwise

lukecrayonz · Answer

Not sure what you're exactly asking..

amistre64 · Answer

u is made of components, 3 of them in fact.

-7u means that we multiply all the parts of u by -7

lukecrayonz · Answer

componentwise = adding all of the vectors, but you're specifiying -7u? do you want just all of the "a's" written?

amistre64 · Answer

u=<-1,3,2> -7u= -7<-1,3,2> = <7,-21,-14>

lukecrayonz · Answer

Oh! So just saying componentwise -7u is basically just saying distribute -7u to u?

amistre64 · Answer

v = v so we aint got to change that one:

-1/5 w ; what do you get?

lukecrayonz · Answer

-1/5<3,-2,0>=<-.6,.4,0>

amistre64 · Answer

hmmm, i thought w = <5,0,-5> to begin with

lukecrayonz · Answer

Oh sorry, wow. I am really just doing terrible at this haha

lukecrayonz · Answer

-1/5<5,0,5>=<-1,0,-1>

lukecrayonz · Answer

<7,-21,-14> <1,-2,-2> <-1,0,-1>

amistre64 · Answer

z = -7u: <7,-21,-14> v: <1, -2, -2> -1/5 w: <-1, 0, 1 > --------------------- z = add each part componentwise

amistre64 · Answer

you dropped a negative, but that comes with practice

lukecrayonz · Answer

Glasses aren't on, should be.

amistre64 · Answer

z = -7u: <7,-21,-14> v: <1, -2, -2> -1/5 w: <-1, 0, 1 > --------------------- z = <7, -23, -15>

lukecrayonz · Answer

Now it states "Use a graphing utility to verify your work"