Given that P = (-1, 8), Q = (-3, 3), R = (9, -9), and S = (13, -8), how do you find the component form and magnitude of the vector PQ + 3RS?
1 Answer
May 26, 2017
Explanation:
#vec(PQ)=ulq-ulp#
#color(white)(vec(PQ))=((-3),(3))-((-1),(8))=((-2),(-5))#
#vec(RS)=uls-ulr=((13),(-8))-((9),(-9))=((4),(1))#
#3vec(RS)=3((4),(1))=((12),(3))#
#rArrvec(PQ)+3vec(RS)#
#=((-2),(-5))+((12),(3))=((10),(-2))larrcolor(red)" in component form"#
#|vec(PQ)+3vec(RS)|=sqrt(10^2+(-2)^2)=2sqrt26#
