Given points A (3; -1; 2) and B (5; 1; 1) find the coordinates of point C if AC (-4; 0; 2).

Given points A (3; – 1; 2) and B (5; 1; 1), we need to find the coordinates of point C if

AC (- 4; 0; 2). In order to find the coordinates of a point, we need to know the formulas for finding the coordinates of a vector. Let’s find the coordinates of the vector, let the vector C (a; b; c):

AC (- 4; 0; 2) = AC (a – 3; b + 1; c – 2).

We equate the coordinates of the vector AC:

a – 3 = – 4; a = – 1;

b + 1 = 0; b = – 1;

s – 2 = 2; c = 4.

Received C (- 1; – 1; 4).

Answer: C (- 1; – 1; 4).