Vector u = < 11, 12> , v = < -16, 6> , and w = < 4, -5> .
match each vector operation with its resultant vector expressed as a linear combination of the unit vectors i and j. not all tiles will be used.

3u-2v+w ➝
8u-6v ➝
7v-4w ➝
u-5w ➝

*options*
184i+60j
69i+19j
69i+37j
-9i+37j
-128i+62j
184i+19j
-9i+62j

  see attachment

Step-by-step explanation:

I find the arithmetic tedious, so I like to let a calculator or spreadsheet do it. The components of the sum are the sums of the components.

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For example, ...

  u - 5w = <11, 12> - 5×<4, -5>

  = <11 -5·4, 12 -5·(-5)>

  = <-9, 37>

  = -9i +37j

15

step-by-step explanation:

< coa = 150 ( given)

as ba and bc are tangents

so oc and oa is perpendicular to cb and ab respectively because in circle normal passes through centre

so in quadrilateral oabc

< coa + < oab + < ocb + < abc = 360

150 +90+90 + < abc = 360

330 + < abc = 360

< abc = 360 -330 = 30

so < abc = 30

⭐dhruv⭐