Question

Attachment

Answer 1

it's a unit cube

Answer 2

are u given the length o the side?

Answer 3

express vector OQ and OR in terms of i,j,k

Answer 4

It's a unit cube, it means length =1

Answer 5

\[\vec {OQ}=(1i,1j,1k)\] . don't know how to find \[\vec{OR}\]

Answer 6

I know how to find it out, to me, first, find the coordinates of R by using midpoint formula ( R is midpoint of diagonal lines of the face) then just combine the OR by distance formula .

Answer 7

OK, if it is a unit cube, yes, each side is 1. So QO is the 1i,1j,1k. Now, think about the bisectors of a square. Where do they meet? Because it is a cube, the face is a square.

Answer 8

at the middle point of diagonal lines . and each of them is sqrt(2)

Answer 9

Yes, the midpoint... in a square. Which is?

Answer 10

sqrt(2)/2?