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Two vectors u,v are orthonormal if and only if?
Two vectors u,v are orthonormal if and only if?
Both u,v are orthogonal and unit vectors
u,v are orthogonal
u,v are unit vectors
None of these
Explanation
Orthonormal vectors satisfy two conditions
: they are
orthogonal
(
u
⋅
v
=
0
u cdot v = 0
) and
unit vectors
(
∣
∣
u
∣
∣
=
1
||u|| = 1
and
∣
∣
v
∣
∣
=
1
||v|| = 1
.
This means they are
perpendicular
and have a
magnitude of 1.