Question

Find the unit vector for each of the following in the direction of the given vector; verify that result has a magnitude of 1
a) u=<0,-2>
b)w=-6i

Answer 1

find the magnitude of given vector,
and divide

Answer 2

a) u=<0,-2>

can u find the magnitude of this vector ?

Answer 3

Don't know how to

Answer 4

magnitude of \(<x, y>\) is \(\sqrt{x^2 + y^2}\)

Answer 5

so 2?

Answer 6

yes, magnitude of <0, -2> is simply 2

Answer 7

so, the unit vector is \(\large <\frac{0}{2}, ~\frac{-2}{2}> = <0, ~-1> \)

Answer 8

ohh.. That was so simple. Now what about b?

Answer 9

yup !

Answer 10

b)w=-6i

Answer 11

j component is missing, so write it as below :

b)w=-6i + 0j

Answer 12

find its magnitude and divide

Answer 13

okay, thank you. You made this beyond simple.

Answer 14

good to hear :) so wat did u get for b ?

Answer 15

wait, would I find the magnitude of that the same way I did for a?

Answer 16

yup

Answer 17

(6,0)?

Answer 18

b)w=-6i + 0j

in vector form it is :

<-6, 0>

Answer 19

oh -6. I came close

Answer 20

:) find the mag

Answer 21

6?

Answer 22

correct ! 6 is the magnitude
to get the unit vector, divide the mag

Answer 23

unit vector = \(\large \frac{-6i}{6} = -i\)

Answer 24

Thank you! :)

Answer 25

np :)