5

1 = 4 e-2n " 2 V[e.v22"] _ 9 Jl Sphocxk tudw frgm ta onign o 2 Wehe 15 ^ Lorfd h 15 veckn . Find: V,1, vZ V ond Vv mne enphness Yazse i Iplnt poss E '...

Question

1 = 4 e-2n " 2 V[e.v22"] _ 9 Jl Sphocxk tudw frgm ta onign o 2 Wehe 15 ^ Lorfd h 15 veckn . Find: V,1, vZ V ond Vv mne enphness Yazse i Iplnt poss E 'ble ferrs ilhowt te Openton V 33

1 = 4 e-2n " 2 V[e.v22"] _ 9 Jl Sphocxk tudw frgm ta onign o 2 Wehe 15 ^ Lorfd h 15 veckn . Find: V,1, vZ V ond Vv mne enphness Yazse i Iplnt poss E 'ble ferrs ilhowt te Openton V 33



Answers

Find $\|\mathbf{v}\|$. $$\mathbf{v}=3 \mathbf{i}-4 \mathbf{j}$$

We are given Vector U and V for U minus three Fee yes, four times you eight minus 20 16 24 Negative 12 minus three times be There's 15 negative six three Negative 21 and negative 12. Do the subtraction between corresponding entries, so eight minus 15 That's negative. Seven. Negative 20 minus six Active. 14 16 minus 3 13 24 minus negative. 21 45 Negative 12 minus negative. 12. That's zero. Part B is similar. Five U plus two v So five times factor you that's 10 negative. 25 20 30 15 plus two times factor V 10 Negative four to negative 14 An active eight so equal to 20 minus 29 22 16 a minus 23 part C We need to multiply corresponding entries to find you that be two times five plus negative five times negative too, plus four times one plus six times negative seven plus negative three times negative four. So 10 plus 10 plus four minus 42 plus 12 Negative. Six. The norm off you is square root off you that you square root of two square plus negative five square plus four square Yeah, plus six square plus Negatives. Three square square root off 90 The norm off We It's also square root off V dot Be the square root off five square plus negative to square plus one square plus minus seven square and plus negative four square square with her 95. The projection off factor you onto V is defined to be you dot be divided by the norm off the square times Vector V We have found you that we does negative six over. Normal fee is square root of 95 square times of actor V Does negative 6/95 times a vector V The distance between U and V is defined to be the norm off U minus. V This is square root off tu minus five square plus negative five plus two square plus four minus one square plus six plus seven square and negative three plus four square square root off nine plus nine plus nine plus 169 plus one that's square root off. 197

Okay, so we're given you envy and we want to find the followed back there. So we have two times you, So that's minus a four in 10. And then we have pushed me. That's for company. And then minus six times a beating. So what's six times forward? Oops. 24 3 times six. That's 18. So let's combine what we have. So we have a neck minus four, plus a four on minus 24 and then you'll 10 plus three. One is 18. So this gives us a negative 24 then we have 10 post three at 13 minus 18 which is equal to negative five.

At the top of the screen, you can see the formula for finding the magnitude of be so. In this case, the magnitude of V is equal to the square root of three squared plus minus fall squared, which is equal to the square root off nine Push 16 which is the square root off 25 which is equal to five.

In this question of actor really have gorgeous because the medical stroll by this guy dynasty Okay, so we have to calculate more juice off activity. That G minus 11 square, minus one square. That's my this one square. Okay, so that would be actually possible yesterday. Bizarre on circulation from this question.


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