Question

Given the following vectors in R^4
v = (5,-3,-6,4)
u = (6,5,k,5)
w = (s,2,-3,t)

a. find k orthogonal to vector v
b. find value s and t such that vector w is orthogonal to both vectors v and u

I found k to be 35/6 and don't know where to go from here...

Answer 1

Assume w is orthogonal to vectors v and u
You will get two equations
i) Equation for w orthogonal to vector v
ii) Equation for w orthognal to vector u
You have two equations and two unknown variables s and t which you can solve

Answer 2

Thank you so much!! :D

Answer 3

you are welcome