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Mathematics
Mathematics
Problem
Consider two non-zero vectors
p
\mathbf{p}
p
and
q
\mathbf{q}
q
with
p
⋅
q
<
0
\mathbf{p}\cdot\mathbf{q}<0
p
⋅
q
<
0
and
p
×
q
≠
0
\mathbf{p}\times\mathbf{q}\neq\mathbf{0}
p
×
q
=
0
. Which one of the following statements is correct about the angle
θ
\theta
θ
between
p
\mathbf{p}
p
and
q
\mathbf{q}
q
? a)
0
∘
<
θ
<
90
∘
0^{\circ}<\theta<90^{\circ}
0
∘
<
θ
<
9
0
∘
b)
θ
=
90
∘
\theta=90^{\circ}
θ
=
9
0
∘
c)
90
∘
<
θ
<
180
∘
90^{\circ}<\theta<180^{\circ}
9
0
∘
<
θ
<
18
0
∘
d)
θ
=
180
∘
\theta=180^{\circ}
θ
=
18
0
∘
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