baleighnorsey5302 baleighnorsey5302

09-09-2017
Mathematics

contestada

Find a + b, 2a + 3b, |a|, and |a − b|. a = 5i + j, b = i − 3j

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chris6293 chris6293

09-09-2017

a+b = (5i + j) + (i - 3j) = 6i - 2j
2a + 3b = 2(5i + j) + 3(i - 3j) = 10i + 2j + 3i - 9j = 13i - 7j
|a| = sqrt((5^2)+(1^2)) = sqrt(26)
|a-b| = |(5i+j) - (i-3j)| = |4i+4j| = sqrt((4^2)+(4^2)) = sqrt(32)

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