Question

how to tell if vector is unit vector

Answer 1

it has something to do with taking the magnitude of the vector, but that is all i remember

Answer 2

unit vector has a length of 1... thus you should use pythagoras to check

Answer 3

how long is it?

Answer 4

and it starts from the origin, ofc.

Answer 5

i just mean in general

Answer 6

square each component , add them

Answer 7

should be 1 if it is unit vector

Answer 8

\[\sqrt{(x_0)^2+(x_1)^2+(x_2)^2+(x_3)^2+...+(x_n)^2}=1\]

Answer 9

okay, so if the magnitude is 1, then it is a unit vector?

Answer 10

<3/5,4/5>

square them

9/25 + 16/25= 25/25=1

Answer 11

i spose the sqrt part is redundant lol

Answer 12

true

Answer 13

someone is studying hard for Calc III

Answer 14

ok, so if not unit vector, then to make unit vector divide by magnitude?

Answer 15

yep

Answer 16

yep: v/|v| = unit

Answer 17

lol, yeah, i have a final exam Thursday

Answer 18

<2,4>

2^2+ 4^4 =20

magnitude Sqrt[20]

1/sqrt[20]<2,4>

Answer 19

great! thanks guys! this is stuff from beginning of semester. :D

Answer 20

* Correction
2^2 +4^2=20

Answer 21

Imranmeah91, can you help me with my question once you are done here?? Thank you (:

Answer 22

so you get double/triple, line , green, stokes,?