anonymous
  • anonymous
Let u = <-6, 1>, v = <-5, 2>. Find -4u + 2v. @ganeshie8 @hero @dan815 @pooja195 @triciaal @loser66 @wio @luigi0210
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.
schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
zzr0ck3r
  • zzr0ck3r
hint: \(-4u=\langle -4(-6),-4(1)\rangle = \langle 24, -4\rangle\)
anonymous
  • anonymous
i really have no idea wow i feel dumb
anonymous
  • anonymous
@zzr0ck3r

Looking for something else?

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

More answers

anonymous
  • anonymous
please help @zzr0ck3r
UsukiDoll
  • UsukiDoll
adding vectors is in the form \[u_1+v_1,u_2+v_2,...u_n+v_n \] but before we can do that we need to distribute the -4 on the u vector and distribute the 2 on the v vector.
anonymous
  • anonymous
<34, -8> <14, 0> <14, 3> <44, -12> @UsukiDoll @ganeshie8 these are my options
UsukiDoll
  • UsukiDoll
zzrocker already did the distribute -4 all over the u vector now we have to distribute 2 all over the v vector 2<-5,2>
UsukiDoll
  • UsukiDoll
now what's -5 x 2 and 2 x 2
anonymous
  • anonymous
-10 and 4 @UsukiDoll
UsukiDoll
  • UsukiDoll
ok cool... so our 2v is <-10,4> so let's add them together zzrocker already did -4u which was <24,-4> so now we have <24,-4> +<-10,4> \[ + \] so we have \[u_1 = 24, u_2 = -4, v_1 = -10, v_2 = 4\] but our final answer has to be in the form \[ \]
anonymous
  • anonymous
one of my option is 14,0 is that the answer?
anonymous
  • anonymous
@UsukiDoll
UsukiDoll
  • UsukiDoll
u vector \[\] v vector \[\] u+v vector \[u_1+v_1,u_2+v_2+...u_n+v_n\]
UsukiDoll
  • UsukiDoll
\[<24-10,-4+4 >\]
anonymous
  • anonymous
wait so was i right? @UsukiDoll
UsukiDoll
  • UsukiDoll
yes .. 24-10 = 14 and -4+4 = 0 your u+v vector is <14,0>
anonymous
  • anonymous
can u help me with another one? @UsukiDoll
UsukiDoll
  • UsukiDoll
sure
anonymous
  • anonymous
Let u = <-9, 4>, v = <8, -5>. Find u - v. <-1, -1> <-13, 13> <-17, 9> <-4, -4>
UsukiDoll
  • UsukiDoll
ok this is similar to the addition vector only we are dealing with subtraction u vector \[ \] v vector \[\] u-v vector \[\]
UsukiDoll
  • UsukiDoll
so... we just have to match labels since we're not multiplying this time.
anonymous
  • anonymous
so what do i do next? can u take me step by step with numbers? @UsukiDoll
UsukiDoll
  • UsukiDoll
sure
UsukiDoll
  • UsukiDoll
let's start with the u vector u=<-9,4> recall that our u vector is in the form of \[u_1,u_2,...u_n \] since there are only 2 terms in our u vector, we have something like \[u=\] Therefore, \[u_1=-9,u_2 = 4\]
UsukiDoll
  • UsukiDoll
similarly for the v vector v= <8,-5> there are only two terms in our v vector, so we have something like \[v= \] Therefore, \[v_1 = 8,v_2=-5\]
anonymous
  • anonymous
so its -1 and -1 rights?
UsukiDoll
  • UsukiDoll
now we have to do subtraction, which is finding the u-v vector which is in the form \[u-v=\]
UsukiDoll
  • UsukiDoll
only one of them will be -1. Recall these values \[u_1=-9,u_2 = 4 \] \[v_1 = 8,v_2=-5 \] now our u-v vector is in the form \[u-v=\] or in this situation just \[u-v=\]
anonymous
  • anonymous
can you help me with another ? @UsukiDoll
UsukiDoll
  • UsukiDoll
but did you get the final answer first?
anonymous
  • anonymous
yes it was -1,-1 @UsukiDoll
anonymous
  • anonymous
Evaluate the expression. r = <9, -7, -1>, v = <2, 2, -2>, w = <-5, -2, 6> v ⋅ w <-18, 14, -2> -26 1 <-10, -4, -12>
UsukiDoll
  • UsukiDoll
the previous answer isn't right \[u-v = <-9-8, 4-(-5)>\] please try again before we can move further.
UsukiDoll
  • UsukiDoll
what's -9-8? and what's 4-(-5) (distribute the negative)
anonymous
  • anonymous
-17,9
UsukiDoll
  • UsukiDoll
there we go :)
UsukiDoll
  • UsukiDoll
so for the next question we are dealing with dot product
UsukiDoll
  • UsukiDoll
\[u \cdot v = \]
anonymous
  • anonymous
i think the answer is <-10, -4, -12> @UsukiDoll
UsukiDoll
  • UsukiDoll
only it's just \[v \cdot w \] where v = <2,2,-2 > and w = <-5,-2,6> yeah you're right \[v_1=2,v_2=2,v_3=-2...w_1=-5,w_2=-2,w_3=6\] \[v_1w_1=-10,v_2w_2=-4,v_3w_3=-12\] <-10,-4,-12>
anonymous
  • anonymous
Two triangles can be formed with the given information. Use the Law of Sines to solve the triangles. B = 46°, a = 12, b = 11 A = 38.3°, C = 95.7°, c = 8; A = 141.7°, C = 84.3°, c = 8 A = 51.7°, C = 82.3°, c = 8; A = 128.3°, C = 5.7°, c = 8 A = 38.3°, C = 95.7°, c = 15.2; A = 141.7°, C = 84.3°, c = 15.2 A = 51.7°, C = 82.3°, c = 15.2; A = 128.3°, C = 5.7°, c = 1.5 @UsukiDoll
UsukiDoll
  • UsukiDoll
I'm with another question atm.

Looking for something else?

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