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anonymous
 one year ago
Let u = <6, 1>, v = <5, 2>. Find 4u + 2v.
@ganeshie8 @hero @dan815 @pooja195 @triciaal @loser66 @wio @luigi0210
anonymous
 one year ago
Let u = <6, 1>, v = <5, 2>. Find 4u + 2v. @ganeshie8 @hero @dan815 @pooja195 @triciaal @loser66 @wio @luigi0210

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zzr0ck3r
 one year ago
Best ResponseYou've already chosen the best response.3hint: \(4u=\langle 4(6),4(1)\rangle = \langle 24, 4\rangle\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i really have no idea wow i feel dumb

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0please help @zzr0ck3r

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.2adding 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
 one year ago
Best ResponseYou've already chosen the best response.0<34, 8> <14, 0> <14, 3> <44, 12> @UsukiDoll @ganeshie8 these are my options

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.2zzrocker 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
 one year ago
Best ResponseYou've already chosen the best response.2now what's 5 x 2 and 2 x 2

anonymous
 one year ago
Best ResponseYou've already chosen the best response.010 and 4 @UsukiDoll

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.2ok 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> \[<u_1,u_2> + <v_1,v_2>\] 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 \[<u_1+v_1,u_2+v_2> \]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0one of my option is 14,0 is that the answer?

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.2u vector \[<u_1,u_2...u_n>\] v vector \[<v_1,v_2,...v_n>\] u+v vector \[u_1+v_1,u_2+v_2+...u_n+v_n\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0wait so was i right? @UsukiDoll

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.2yes .. 2410 = 14 and 4+4 = 0 your u+v vector is <14,0>

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0can u help me with another one? @UsukiDoll

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Let u = <9, 4>, v = <8, 5>. Find u  v. <1, 1> <13, 13> <17, 9> <4, 4>

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.2ok this is similar to the addition vector only we are dealing with subtraction u vector \[<u_1,u_2,...u_n> \] v vector \[<v_1,v_2,...v_n >\] uv vector \[<u_1v_1,u_2v_2,....u_nv_n>\]

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.2so... we just have to match labels since we're not multiplying this time.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so what do i do next? can u take me step by step with numbers? @UsukiDoll

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.2let'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 \[u=<u_1,u_2>\] Therefore, \[u_1=9,u_2 = 4\]

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.2similarly for the v vector v= <8,5> there are only two terms in our v vector, so we have something like \[v=<v_1,v_2> \] Therefore, \[v_1 = 8,v_2=5\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so its 1 and 1 rights?

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.2now we have to do subtraction, which is finding the uv vector which is in the form \[uv=<u_1v_1,u_2v_2...u_nv_n>\]

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.2only one of them will be 1. Recall these values \[u_1=9,u_2 = 4 \] \[v_1 = 8,v_2=5 \] now our uv vector is in the form \[uv=<u_1v_1,u_2v_2...u_nv_n>\] or in this situation just \[uv=<u_1v_1,u_2v_2>\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0can you help me with another ? @UsukiDoll

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.2but did you get the final answer first?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yes it was 1,1 @UsukiDoll

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Evaluate 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
 one year ago
Best ResponseYou've already chosen the best response.2the previous answer isn't right \[uv = <98, 4(5)>\] please try again before we can move further.

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.2what's 98? and what's 4(5) (distribute the negative)

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.2so for the next question we are dealing with dot product

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.2\[u \cdot v =<u_1v_1,u_2v_2,...u_nv_n> \]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i think the answer is <10, 4, 12> @UsukiDoll

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.2only 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
 one year ago
Best ResponseYou've already chosen the best response.0Two 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
 one year ago
Best ResponseYou've already chosen the best response.2I'm with another question atm.
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