How do you find the magnitude of YZ given Y(-4,12) and Z(1,19)?

1 Answer
Sep 18, 2016

Use the distance formula to find #|\vec(YZ) |=sqrt(74)~~8.6#

Explanation:

Use the distance formula.

#d=sqrt((x_2-x_1)^2+(y_2-y_1)^2)#

#(x_1,y_1)=(-4,12)# and #(x_2,y_2)=(1,19)#

#|\vec(YZ) |= sqrt((1- -4)^2+(19-12)^2#

#|\vec(YZ) |=sqrt(5^2+7^2)#

#|\vec(YZ) |=sqrt(25+49)#

#|\vec(YZ) |=sqrt(74)~~8.6#