Question

Find the magnitude of the sum of the vectors <4,5> and <-2,2>. Round your answer to the nearest 100th.

Answer 1

`||v||\approx7.28`

Explanation:

Sum of the vectors

`\langle4,5\rangle+\langle-2,2\rangle=\langle4+(-2),5+2\rangle=\langle2,7\rangle`

Magnitude of the resultant vector

`||v||=√(x^2+y^2)=√(2^2+7^2)=√(4+49)=√(53)\approx7.28`