Question

Найти координаты середины отрезка АВ,если А(-1,1,0); В(-2,0,4)

Answer 1

X1+x2=-1-2=-3
y1+y2=1+0=1
z1+z2=0+4 =4

xc=-3/2=-1.5
yc=1/2=0.5
zc=4/2=2

Answer 2

Finding the coordinates of the midpoint of a line segment

To find the coordinates of the midpoint of a line segment, we can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint between two points A(x1, y1, z1) and B(x2, y2, z2) in three-dimensional space can be calculated using the following formula:

Midpoint = ( (x1 + x2) / 2, (y1 + y2) / 2, (z1 + z2) / 2 )

Let's apply this formula to find the coordinates of the midpoint of the line segment AB, where A(-1, 1, 0) and B(-2, 0, 4).

Using the midpoint formula: - x-coordinate of the midpoint = (x1 + x2) / 2 = (-1 + -2) / 2 = -3 / 2 = -1.5 - y-coordinate of the midpoint = (y1 + y2) / 2 = (1 + 0) / 2 = 1 / 2 = 0.5 - z-coordinate of the midpoint = (z1 + z2) / 2 = (0 + 4) / 2 = 4 / 2 = 2

Therefore, the coordinates of the midpoint of the line segment AB are (-1.5, 0.5, 2).