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Find the magnitude of the vector <−4, −6>.

8
7.2
10
6.4


Sagot :

The magnitude of the vectors is 7.2

The magnitude of a vector is resolved by using a formula

Magnitude of a Vector

This is the displacement between two vectors and can be calculated as

[tex]x^2 = y^2 + z^2\\x = \sqrt{y^2 + z^2} \\[/tex]

where x is the magnitude of displacement between y and z.

In this question, the vectors are

  • -4
  • -6

Let's find the magnitude of this vector

[tex]x = \sqrt{(-4)^2+(-6)^2}\\x = \sqrt{16+36}\\x = \sqrt{52}\\x = 7.2[/tex]

The magnitude of the vectors is 7.2

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