↑a (1 ; 2)
↑b (2 ; - 4)
2↑a = {1 · 2 ; 2 · 2} = {2 ; 4}
3↑b = {3 · 2 ; 3 · (- 4)} = {6 ; - 12}
2↑a - 3↑b = {2 - 6 ; 4 + 12} = {- 4 ; 16}
|2↑a - 3↑b| = √((- 4)² + 16²) = √(16 + 256) = √272 = 4√17
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Verified answer
↑a (1 ; 2)
↑b (2 ; - 4)
2↑a = {1 · 2 ; 2 · 2} = {2 ; 4}
3↑b = {3 · 2 ; 3 · (- 4)} = {6 ; - 12}
2↑a - 3↑b = {2 - 6 ; 4 + 12} = {- 4 ; 16}
|2↑a - 3↑b| = √((- 4)² + 16²) = √(16 + 256) = √272 = 4√17