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Mathematics
Mathematics
Problem
Vectors
a
\boldsymbol{a}
a
and
b
\boldsymbol{b}
b
are non-collinear. Find for what values of
x
x
x
vectors
c
=
(
x
−
2
)
a
+
b
\boldsymbol{c} = (x - 2)\boldsymbol{a} + \boldsymbol{b}
c
=
(
x
−
2
)
a
+
b
and
d
=
(
2
x
+
1
)
a
−
b
\boldsymbol{d} = (2x + 1)\boldsymbol{a} - \boldsymbol{b}
d
=
(
2
x
+
1
)
a
−
b
are collinear?
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