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Mathematics
Mathematics
Problem
Let
A
(
1
,
0
,
2
)
A(1,\,0,\,2)
A
(
1
,
0
,
2
)
and
B
(
3
,
t
,
−
1
)
B(3,\,t,\,-1)
B
(
3
,
t
,
−
1
)
. If
A
B
⃗
\vec{AB}
A
B
is perpendicular to
v
=
2
i
+
j
−
4
k
\mathbf{v}=2\mathbf{i}+\mathbf{j}-4\mathbf{k}
v
=
2
i
+
j
−
4
k
, calculate the value of
t
t
t
.
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