Find the vector V with the given length that has the same direction as U:
||V||=4 U=(=1,1)

Question

Find the vector V with the given length that has the same direction as U:
||V||=4   U=(=1,1)

amistre64 · Answer

4*u/|u|

anonymous · Answer

ohhh i get it. thanks :DDDDD

myininaya · Answer

aww... i could have helped pippa :(

amistre64 · Answer

you still can ;)

anonymous · Answer

r u sure?

amistre64 · Answer

is that a -1,1 ?

anonymous · Answer

cuz like for another example the book gives a diff answer

amistre64 · Answer

|u| = sqrt(2) unit u = <1/sqrt(2), 1/sqrt(2)> scale by 4 to get: <4/sqrt(2), 4/sqrt(2)> and simplify if needed

amistre64 · Answer

im sure, as long as you got the right stuff:
in essesne; unit the vector and scale it to the desired magnitude

amistre64 · Answer

$$\frac{|v|}{|u|}\vec{u}$$

anonymous · Answer

sorry os just froze on me I am gonne read it now

anonymous · Answer

idk its wierd

anonymous · Answer

so let me give u the example:
||V||=4   u=(1,1)
the answer is 2sqrt(2), ssqrt(2)

amistre64 · Answer

yes

amistre64 · Answer

|u| = sqrt(2)

sqrt(2)/sqrt(2) = 1 so we divide the vector by its own magnitude to keep its direction by to shorten it to 1

amistre64 · Answer

then we simply scale it up by how big |v| is

anonymous · Answer

hehe i am halfway sleeping. Guess i just need to sit over it

amistre64 · Answer

how many feet are in a yard stick?

anonymous · Answer

idk lol ohhh 3

amistre64 · Answer

right 3 feet; and if you only want 1 foot; you divide the yard stick by what number?

anonymous · Answer

hehe 3

amistre64 · Answer

yep, thats all we are doing to get a "unit" length vector; dividing it by its magnitude

anonymous · Answer

ok thanks

anonymous · Answer

hahahahahaha i got it amistre lol

anonymous · Answer

Yay sorry i was on the slow side. I am barely functioning. It was like basic math operations