Hello, antman!
Given the vectors: .
which are:
a) orthogonal?
b) in the same direction?
c) in opposite directions?
My answers
. . . . Right!
Pretty good work . . .
Which of the vectors u1=(1,2), u2=(0,1), u3=(-2,-4), u4=(-2,1), u5=(2,4), u6=(-6,3) are
a. orthogonal?
b. in the same direction?
c. in opposite directions?
my answers
a. u1 & u4, u1 & u6, u3 & u4, u3 & u6, u4 & u5, u5 & u6 because their dot products are 0
b. u1, u2 & u5 AND u4 & u6
c. u3 & u5
does anyone know if I did this right? did I miss anything?
If and are multiples of one another (and thus parallel), then you should be able to find a scalar such that Can you find such a
If you setup a system of equations to find this value, you will see that the system is inconsistent. Therefore, and are not parallel. And if they are not parallel, they cannot be in the same direction.