Mathematics: Given points a(1,2,3), b(−3,2, −4), c(−2,1,5), find the following magnitudes. a. ||ab||

Given points a(1,2,3), b(−3,2, −4), c(−2,1,5),

kaylallangari2145

07.01.2022

$||AB||=\sqrt{65}$

Step-by-step explanation:

If you have two points:

$A=(x_1,y_1,z_1)\\B=(x_2,y_2,z_2)\\\\||AB||=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1)^2}$

Then, we have:

$A=(1,2,3)\\B=(-3,2,-4)$

And we have to calculate ||AB||

$||AB||=\sqrt{(-3-1)^2+(2-2)^2+(-4-3)^2}\\\\||AB||=\sqrt{(-4)^2+(0)^2+(-7)^2}\\\\||AB||=\sqrt{16+49} \\\\||AB||=\sqrt{65}$

The answer is:

$||AB||=\sqrt{65}$

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m4167281

18.11.2020

i'll give you a -10/10

Step-by-step explanation:

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