Question

Find the magnitude of UV with U(-2, -7) and V(-9, -7). Write your answer in simplified form.

Answer 1

The magnitude of UV is 7

Step-by-step explanation:

The distance formula also called magnitude will be used to calculate the magnitude

So,

Given

(x1,y1) = U(-2,-7)

(x2,y2) = V(-9,-7)

The distance formula is:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Putting the values

$|UV|=\sqrt{[-9-(-2)]^2+[-7-(-7)]^2}\\=\sqrt{(-9+2)^2+(-7+7)^2}\\=\sqrt{(-7)^2+(0)^2}\\=\sqrt{49}\\=7$

The magnitude of UV is 7

Keywords: Magnitude of vector

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