Question

Даны точки А(2;3;-1), В(1;-1;2), С(2;3;0), D(4;-2;1). Найдите длины векторов AB иCD.​

Answer 1

Ответ:

надо складывать от точки а и б х1+х2

Answer 2

To find the lengths of vectors AB and CD, we need to calculate the distance between the two given points.

The length of a vector can be calculated using the distance formula between two points in 3D space:

For two points (x1, y1, z1) and (x2, y2, z2), the distance formula is:

Distance = √((x2 - x1)^2 + (y2 - y1)^2 + (z2 - z1)^2)

Let's calculate the lengths of vectors AB and CD:

For AB:

A(2, 3, -1) B(1, -1, 2)

Distance_AB = √((1 - 2)^2 + (-1 - 3)^2 + (2 - (-1))^2) = √((-1)^2 + (-4)^2 + (3)^2) = √(1 + 16 + 9) = √26

So, the length of vector AB is √26 (approximately 5.1 units).

For CD:

C(2, 3, 0) D(4, -2, 1)

Distance_CD = √((4 - 2)^2 + (-2 - 3)^2 + (1 - 0)^2) = √(2^2 + (-5)^2 + 1^2) = √(4 + 25 + 1) = √30

So, the length of vector CD is √30 (approximately 5.5 units).