What is the distance between # (2, –3, 1) # and #(–1, 4, –2) #?

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Answer 1 · 2016-04-10T13:50:22

#sqrt67#

#color(blue)((2,-3,1)and(-1,4,-2)#

Use the #3# dimensional distance formula

#color(brown)(d=sqrt((x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1)^2)#

So,

#color(purple)(x_1=2,x_2=-1#

#color(purple)(y_1=-3,y_2=4#

#color(purple)(z_1=1,z_2=-2#

Then,

#rarrd=sqrt((-1-2)^2+(4-(-3))^2+(-2-1)^2)#

#rarrd=sqrt((-3)^2+(4+3)^2+(-3)^2)#

#rarrd=sqrt((-3)^2+(7)^2+(-3)^2)#

#rarrd=sqrt(9+49+9)#

#color(green)(rArrd=sqrt67~~8.18#