2. Give that the vectors u=[2, t, -4] and v=[1, -3, t-4] are perpendicular, find the value of the constant, t.

Answer 1

Two vectors u and v are perpendicular if the dot product u.v=0.
Do the multiplication and equate to zero to solve for t.

Answer 2

You want u.v=0

2 - 3t - 4(t-4) = 0
t = 18/7

like that?

Answer 3

Correct!

Answer 4

thanks!