Given the vectors #u=<2,2>#, #v=<-3,4>#, and #w=<1,-2>#, how do you find #||w||-1#?
1 Answer
Jan 7, 2017
# || vec w || -1 = sqrt( 5 ) - 1 = 1.24# (2dp)
Explanation:
We have:
#vec u=<<2,2>>#
#vec v=<<-3,4>>#
#vec w=<<1,-2>>#
The question does seem a little bit confused as there is no further reference to
# || vec w || = sqrt( vec w * vec w ) #
# \ \ \ \ \ \ \ \ = sqrt( (1)^2 + (-2)^2 ) #
# \ \ \ \ \ \ \ \ = sqrt( 1 + 4 ) #
# \ \ \ \ \ \ \ \ = sqrt( 5 ) #
So then
# || vec w || -1 = sqrt( 5 ) - 1 #
