If A(1, 2, 3) and B(-1, -1, -1) are two point | vedclass

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Question

(C) The distance between two points $A(x_1, y_1, z_1)$ and $B(x_2, y_2, z_2)$ is given by the formula:$AB = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2 + (z_2

Vedclass · Accepted Answer

$\sqrt{29}$

Vedclass · Answer

(C) The distance between two points $A(x_1, y_1, z_1)$ and $B(x_2, y_2, z_2)$ is given by the formula:$AB = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2 + (z_2 - z_1)^2}$Given points are $A(1, 2, 3)$ and $B(-1, -1, -1)$.Substituting the values into the formula:$AB = \sqrt{(-1 - 1)^2 + (-1 - 2)^2 + (-1 - 3)^2}$$AB = \sqrt{(-2)^2 + (-3)^2 + (-4)^2}$$AB = \sqrt{4 + 9 + 16}$$AB = \sqrt{29}$Thus,the correct option is $C$.

If $A(1, 2, 3)$ and $B(-1, -1, -1)$ are two points,then the distance $AB$ is:

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