Question

What is a unit vector that is perpendicular to both V = 1i+3j+2k and W = 4i+2j+1k?

Answer 1

think we have to compute the cross product and then normalize right?

Answer 2

you know how to get the cross product?

Answer 3

yup, is it just that divided by the length of the resultant vector?

Answer 4

yes.

Answer 5

i get
\[-1i-7j+10k\] but check it because it is late

Answer 6

then divide by
\[5\sqrt{6}\]

Answer 7

i got the same, divided by \[\sqrt{150} which reduces \to 5\sqrt{6}\]

Answer 8

lol, yeah that looks right

Answer 9

cool thanks for confirming!

Answer 10

yw

Answer 11

just noticed something
i think the i term should be positive

--> i -7j +10k
divided by 5sqrt6

dot product with <1,3,2>should be 0
1-21+20 = 0