Question

Find the magnitude of the vector <−4, −6>. 8 7.2 10 6.4

Answer 1

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

$x^2 = y^2 + z^2\\x = \sqrt{y^2 + z^2}$

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

$x = \sqrt{(-4)^2+(-6)^2}\\x = \sqrt{16+36}\\x = \sqrt{52}\\x = 7.2$

The magnitude of the vectors is 7.2

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