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Mathematics
Mathematics
Problem
If
a
,
b
,
c
\mathbf{a}, \mathbf{b}, \mathbf{c}
a
,
b
,
c
are non-coplanar vectors and
λ
\lambda
λ
is a real number, then
[
λ
(
a
+
b
)
λ
2
b
λ
c
]
=
[
a
b
+
c
b
]
[\lambda(\mathbf{a} + \mathbf{b}) \quad \lambda^2\mathbf{b} \quad \lambda\mathbf{c}] = [\mathbf{a} \quad \mathbf{b} + \mathbf{c} \quad \mathbf{b}]
[
λ
(
a
+
b
)
λ
2
b
λ
c
]
=
[
a
b
+
c
b
]
a. exactly two values of
λ
\lambda
λ
b. exactly three values of
λ
\lambda
λ
c. no value of
λ
\lambda
λ
d. exactly one value of
λ
\lambda
λ
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