Question

Find the magnitude and direction of the vector r=(-4 6)

Answer 1

A. |r|=2√13, 56.3° N of W

Explanation:

got it on edge :)

Answer 2

Explanation:

The given vector is :

r = (-4,6)

We can write in the form of vector as follows :

r = -4i+6j

The magnitude of vector r is :

`|r|=√(-4^2+6^2) \\\\=√(16+36) \\\\=7.21`

For direction,

`\tan\theta=(y)/(x)\\\\\theta=\tan^(-1)((y)/(x))\\\\=\tan^(-1)((6)/(-4))\\\\=-56.3^(\circ)`

So, the magnitude is 7.21 and the direction is
`-56.3^(\circ)`