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Mathematics
Problem
Two non-zero vectors
u
\mathbf{u}
u
and
v
\mathbf{v}
v
satisfy
u
⋅
v
=
0
\mathbf{u}\cdot\mathbf{v}=0
u
⋅
v
=
0
. Which statement must be true? a)
u
×
v
=
0
\mathbf{u}\times\mathbf{v}=\mathbf{0}
u
×
v
=
0
b)
u
\mathbf{u}
u
is perpendicular to
v
\mathbf{v}
v
c)
∣
u
∣
=
∣
v
∣
|\mathbf{u}| = |\mathbf{v}|
∣
u
∣
=
∣
v
∣
d)
u
\mathbf{u}
u
is parallel to
v
\mathbf{v}
v
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