Question

Determine the projection of u= 1.6i+3.3j in the direction v= -2.1i - 0.5j.
a. 0.8i+0.2j
b. 2.3i+0.5j
c. -0.6i-0.3j
d. -1.2i-1.2j

Answer 1

I really absolutely do not get this, if you could help me solve it that would be much appreciated. Thank you thank you thank you.

Answer 2

use the formula of projection on vectors

Answer 3

I did that but I am getting so lost in my work its not even funny.

Answer 4

\[u=<1.6,3.3> v<-2.1,-0.5>\]

Answer 5

right

Answer 6

and then i plug it into the formula so that its the dot vector multiplication over V squared with it all set to be multiplied by V again

Answer 7

\[Proj=\frac{ a.b }{ |a|^2 }a\]

Answer 8

yeah got that much then after plugging it all in...idek

Answer 9

did u change to unit vector

Answer 10

Nope. How do I do that?

Answer 11

\[<a.b>=\frac{ a.b }{ \sqrt{a^2+b^2}} \]

Answer 12

okay so multiply a times b all over the square of a squared + b squared, then after I get that what do I do with what I get from that

Answer 13

wait, do i add the products of a times b?

Answer 14

thank you for your help btw, i really appreciate it, math is NOT my subject

Answer 15

\[\frac{ <-2.5,-0.5> }{ \sqrt{(-2.5)^2+(-0.5)^2} }\]

Answer 16

okay then from there?

Answer 17

show ur work where did you get

Answer 18

Im solving right now but the one part of the equation is wrong, its -2.1 not -2.5.

Answer 19

Okay so I have the top vector over 6.5

Answer 20

then do I do that with the other one too?

Answer 21

is the answer \[\frac{ -5.01 }{ 2.64}\]

Answer 22

mmmm i didnt get that. Idek. Im just gonna drop this for now. Thank you for everything. You were helpful. I'm just math stupid