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Mathematics
Problem
Two non-zero vectors
p
\mathbf{p}
p
and
q
\mathbf{q}
q
satisfy
p
⋅
q
=
0
\mathbf{p}\cdot\mathbf{q}=0
p
⋅
q
=
0
. Which of the following must be true? a) At least one of
p
\mathbf{p}
p
or
q
\mathbf{q}
q
is
0
\mathbf{0}
0
b)
p
×
q
=
0
\mathbf{p}\times \mathbf{q}=\mathbf{0}
p
×
q
=
0
c)
p
\mathbf{p}
p
and
q
\mathbf{q}
q
are perpendicular d)
p
\mathbf{p}
p
and
q
\mathbf{q}
q
are parallel
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