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What is the distance between #(3, –1, 1) # and #(–6, 3, 1) #?

1 Answer

sankarankalyanam

Apr 21, 2018

#color(maroon)("Distance between A & B " = vec(AB) = 9.85#

Explanation:

#A (x_1, y_1, z_1) = (3, -1, 1), B (x_2, y_2, z_2) = (-6, 3, 1)#

To find the distance between the two points A & B.

#"Distance formula " color(blue)(d = sqrt((x_2-v_1)^2 + (y_2 - y_1)^2 + (z_2 - z_1)^2)#

#d = sqrt((-6-3)^2 + (3+1)^2 + (1-1)^2) = sqrt(9^2 + 4^2)#

#color(maroon)("Distance between A & B " = vec(AB) = 9.85#

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