$\mathrm{Computing\:the\:Euclidean\:Length\:of\:a\:vector}:\quad \left|\left(x_1\:,\:\:\ldots \:,\:\:x_n\right)\right|=\sqrt{\sum _{i=1}^n\left|x_i\right|^2}$

$=\sqrt{6^2+\left(2\sqrt{3}\right)^2}$

$=\sqrt{36+12}$

$=\sqrt{48}$

$\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{ab}=\sqrt[n]{a}\sqrt[n]{b}$

$=\sqrt{3}\sqrt{2^4}$

$=4\sqrt{3}$

The Direction of a vector:

tan Ф = y/x

y=2√3

x = 6

tan Ф = y/x

= 2√3 / 6

= √3 / 3

$\theta \:=tan\:^{-1}\left(\frac{\sqrt{3}}{3}\right)$

$\:\theta \:=\frac{\pi \:}{6}=30^{\circ \:}$

6 0

3 years ago

Plzz help i hav a test after i need the answer quick plzz.

Katen [24]

Answer:Oop

Step-by-step explanation:

5 0

4 years ago

4. For each equation, determine if =-2 is a solution. Explain or show your reasoning.

Aneli [31]

Answer:

a. 14 b. -2

Step-by-step explanation:

a. 10=2x-18

28=2x ; x=14

b. 3x+12=2x+6+4

3x+12=2x+10

x=-2

6 0

4 years ago