(a) what are the x and y components of each vector? For vector v1: v1 = 6.6 (cos (180) i + sine (180) j) v1 = 6.6 (-1i + 0j) v1 = -6.6i For vector v2: v2 = 8.5 (cos (55) i + sine (55) j) v2 = 8.5 ((0.573576436) i + (0.819152044) j) v2 = 4.88 i + 6.96 j (b) determine the sum v v 1 2
The sum of both vectors is given by: v1 + v2 = (-6.6i) + (4.88 i + 6.96 j) Adding component to component: v1 + v2 = (-6.6 + 4.88) i + (6.96) j v1 + v2 = (-1.72) i + (6.96) j
So you already know the difference between the new number and original number, so all you have to do now is plug it in to this: Percentage Change=Difference/Original Number x100. So 17.99/257=.07x100 which equals 7%. So B is the correct answer.
(Round your answer up to the nearest whole number.)(b) Repeat part (a) using a 99% confidence level. (Round your answer up to the nearest whole number.)
