Question

find the magnitude and positive direction angle of the vector $\left\langle -4\sqrt{3},-4\
ight\
angle$.
the magnitude of the vector is
(simplify your answer.)

Explanation:

Step1: Recall the formula for the magnitude of a vector

For a vector \(\langle x,y
angle\), the magnitude \(|\vec{v}|=\sqrt{x^{2}+y^{2}}\). Here \(x = - 4\sqrt{3}\) and \(y=-4\).

Step2: Substitute the values into the formula

$$
LATEXBLOCK0
$$

Answer:

\(8\)