Question

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

Answer 1

Step-by-step 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 :

$|r|=\sqrt{-4^2+6^2} \\\\=\sqrt{16+36} \\\\=7.21$

For direction,

$\tan\theta=\dfrac{y}{x}\\\\\theta=\tan^{-1}(\dfrac{y}{x})\\\\=\tan^{-1}(\dfrac{6}{-4})\\\\=-56.3^{\circ}$

So, the magnitude is 7.21 and the direction is $-56.3^{\circ}$

Answer 2

Answer:

A. |r|=2√13, 56.3° N of W

Step-by-step explanation:

got it on edge :)