The position of 2 bodies at any instant are represented by 2 points A(2,3,4) & b(5,6,7) from origin O. what is the distance between these bodies at that instant?

Question

options
a) 5.0 b) 3.0 c) 9.2 d) 5.2

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Answer 1 · 2018-02-03T14:35:41

The answer is option #(d)=5.2u#

Let the points be #A=(x_1,y_1,z_1)# and #B=(x_2,y_2,z_2)#

Then the distance between the #2# points are

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

#=sqrt((5-2)^2+(6-3)^2+(7-4)^2)#

#=sqrt(3^2+3^3+3^2)#

#=sqrt(9+9+9)#

#=sqrt27#

#=3sqrt3#

#=5.2u#