Question

Given the points A= (1,2,-1) , B= (-3,1,2) and C=(0,-4,3).
(i) Find AB, BC, AC
(ii) Show that AB+BC=AC

Answer 1

Answer:

Given

A = (1,2,-1), B = (-3,1,2) and C = (0,-4,3)

Step-by-step explanation:

(i) Find AB,BC,AC

AB = (1-3) + (2+1) + (-1+2)

AB = -2+3+1

AB = 2

BC = (-3+0) + (1-4) + (2+3)

BC = -3-3+5

BC = -1

AC = (1+0) + (2-4) + (-1+3)

AC = 1-2+3

AC = 2

(ii) Show that AB + BC = AC

AB + BC = AC

2 + (-1) = 2

2-1 = 2

2=2

Answer:- AC = AC, 2=2.

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