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Mathematics
Mathematics
Problem
Let
a
=
⟨
1
,
−
1
,
2
⟩
\mathbf{a}=\langle 1,-1,2\rangle
a
=
⟨
1
,
−
1
,
2
⟩
and
b
=
⟨
2
,
x
,
−
3
⟩
\mathbf{b}=\langle 2,x,-3\rangle
b
=
⟨
2
,
x
,
−
3
⟩
. If
c
=
a
+
b
\mathbf{c}=\mathbf{a}+\mathbf{b}
c
=
a
+
b
satisfies
c
⋅
c
=
29
\mathbf{c}\cdot\mathbf{c}=29
c
⋅
c
=
29
, find the possible value(s) of
x
x
x
.
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