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Mathematics
Mathematics
Problem
Let
a
=
⟨
t
,
1
,
3
⟩
\mathbf{a}=\langle t,1,3\rangle
a
=
⟨
t
,
1
,
3
⟩
and
b
=
⟨
2
,
−
1
,
t
⟩
\mathbf{b}=\langle 2,-1,t\rangle
b
=
⟨
2
,
−
1
,
t
⟩
. If the angle between
a
\mathbf{a}
a
and
b
\mathbf{b}
b
is
90
∘
90^{\circ}
9
0
∘
, the value of
t
t
t
is a)
−
1
5
-\dfrac{1}{5}
−
5
1
b)
0
0
0
c)
1
5
\dfrac{1}{5}
5
1
d)
1
3
\dfrac{1}{3}
3
1
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