Babynini
  • Babynini
Vectors, please check :)
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
Babynini
  • Babynini
A few simple questions! u= <-2,4> v=5i-3i 1) find 6u-v = <-17,21> 2) fine a unit vector in the direction of v this one i'm ont sure about 3) graph u, v, and u-v with initial points of origin. again, i have an idea but im not sure
ganeshie8
  • ganeshie8
look there is a typo ``` v=5i-3i ```
Babynini
  • Babynini
sowire v= 5i-3j

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

ganeshie8
  • ganeshie8
6*4 - (-3) = ?
Babynini
  • Babynini
27
Babynini
  • Babynini
why those numbers?
ganeshie8
  • ganeshie8
u= <-2, 4> v=5i-3j = <5, -3> 6u - v = ?
Babynini
  • Babynini
<-17,21>
ganeshie8
  • ganeshie8
can you show work for how you got 21 ?
Babynini
  • Babynini
6u = <-12,24> v= <5,-3> (-12-5), (24-3) = <-17,21>
ganeshie8
  • ganeshie8
check again
ganeshie8
  • ganeshie8
is it 24-3 or 24-(-3) ?
Babynini
  • Babynini
ooh right rigt.
Babynini
  • Babynini
soo.. <-17,25> ?
Babynini
  • Babynini
lol sorry, *27
ganeshie8
  • ganeshie8
yes
Babynini
  • Babynini
fabulous :)
Babynini
  • Babynini
part b then
ganeshie8
  • ganeshie8
what do u know about unit vector ?
Babynini
  • Babynini
er, is this where I use cos and sin?
Babynini
  • Babynini
or multiplying by scalar?
Babynini
  • Babynini
Idk :/
Babynini
  • Babynini
It's the angle formed by the vector and x.
ganeshie8
  • ganeshie8
unit vector is just a vector whose magnitude is 1 and points in the same direction
ganeshie8
  • ganeshie8
what is the magnitude of vector v ?
Babynini
  • Babynini
er \[\sqrt{25+9}\]
ganeshie8
  • ganeshie8
yes what do you need to do to make it 1 ?
Babynini
  • Babynini
What do you mean?
ganeshie8
  • ganeshie8
what do you need to do to \(\sqrt{25+9}\) to make it \(1\) ?
ganeshie8
  • ganeshie8
dividing by \(\sqrt{25+9}\) produces \(1\), yes ?
Babynini
  • Babynini
yeah dividing it by itself
ganeshie8
  • ganeshie8
so the unit vector is simply : \[\large \dfrac{v}{\|v\|}\]
ganeshie8
  • ganeshie8
dividing the original vector by its magnitude gives the unit vector
Babynini
  • Babynini
\[\frac{ 5i -3j}{ \sqrt{34} }\]
Babynini
  • Babynini
?
ganeshie8
  • ganeshie8
Yes thats the unit vector in the direction of \(v\)
Babynini
  • Babynini
so that would be the final answer? :)
ganeshie8
  • ganeshie8
yes
Babynini
  • Babynini
yay! Part c then ^-^
ganeshie8
  • ganeshie8
graph the vectors
ganeshie8
  • ganeshie8
|dw:1433398194050:dw|
ganeshie8
  • ganeshie8
To graph the vector u= <-2,4> first plot the point (-2, 4) and draw an arrow from (0,0) to (-2,4)
Babynini
  • Babynini
|dw:1433398294843:dw|
Babynini
  • Babynini
(-7,7) isn't on the graph :P
ganeshie8
  • ganeshie8
|dw:1433398431757:dw|
ganeshie8
  • ganeshie8
yeah u-v = <-7, 7> is not on this graph but i see you get how to draw the vectors
ganeshie8
  • ganeshie8
don't forget to put arrow at the final point
Babynini
  • Babynini
okies! thanks :)
ganeshie8
  • ganeshie8
np

Looking for something else?

Not the answer you are looking for? Search for more explanations.