coneheadrachie coneheadrachie
  • 02-02-2017
  • Mathematics
contestada

Determine whether the vectors u and v are parallel, orthogonal, or neither.

u = <10, 6>, v = <9, 5>

Respuesta :

LammettHash
LammettHash LammettHash
  • 03-02-2017
[tex]\mathbf u\cdot\mathbf v=\|\mathbf u\|\|\mathbf v\|\cos\theta[/tex]

where [tex]\theta[/tex] is the angle between the vectors. You have

[tex]10\times9+6\times5=\sqrt{10^2+6^2}\sqrt{9^2+5^2}\cos\theta\iff \cos\theta=\dfrac{30}{\sqrt{901}}\implies \theta\approx1.909^\circ[/tex]

The vectors would be orthogonal if the dot product had been zero, but that's clearly not the case.

They would be parallel if the angle turned out to be [tex]0^\circ[/tex] or [tex]180^\circ[/tex], but that's also not the case.

So the answer is neither.
Answer Link

Otras preguntas

the sum of twice a number and 9 is 43
Usually, the highest relative humidity is ________.
A population consists of all the weights of all defensive tackles on a university's football team. they are johnson, 204 pounds; patrick, 215 pounds; junior, 20
In the figure, angle D measures 31° and angle A measures 27°. The measurement of angle B is °. The measurement of angle F is °. NextReset
in which country did the french and british fight in
3. What did President Teddy Roosevelt do in terms of conservation?
El clima de la costa Guatemalteca es tropical, es decir es ______________________.
You eat 3/10 of a pack of hotdogs, your friend eats 1/5 of the pack of hotdogs. what fraction of the hotdogs did you and your friend eat?
math question down below
An Olympic sprinter runs 200 meters in 20.1 seconds. Calculate the runner's speed in miles per hour.