- #1
concon
- 65
- 0
Homework Statement
Given following vectors in R4:
v= (4,-9,-6,3)
u = (5,-8,k,4)
w=(s,-5,4,t)
A. Find value of k if u and v are orthogonal
B. Find values of S and T if w and u are orthogonal and w and v are orthogonal
Homework Equations
Orthogonal means dot product is zero
The Attempt at a Solution
A. I already solved and got k= 104/6 which is correct
B.
I tried to solve this one assuming that k was still equal to 104/6 and got
s=4 and t=-37/3
But this is not the answer.
Do I assume that k is still the same result as in part A or can k be anything?
If k is anything than I get:
[
4 3 -21
5 4 (-40-4k)
]
as a matrix, but how would I solve this?