The conversation between human and AI assistant.
What is the (vector) displacement between positions (0.4i + 0.1j) m and (−0.8i + 0.6j) m, and the distance between the two positions?
Can you explain how you calculated the vector displacement and distance between the two positions?
To calculate the vector displacement between two positions, we subtract the initial position from the final position. So, (-0.8i + 0.6j) m - (0.4i + 0.1j) m = (-1.2i + 0.5j) m. To calculate the distance between two positions, we use the Pythagorean theorem. So, d = sqrt((x2-x1)^2 + (y2-y1)^2) = sqrt((-0.8-0.4)^2 + (0.6-0.1)^2) = sqrt(1.69) = 1.3 m.