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Mathematics
Mathematics
Problem
Let
A
,
B
\mathbf{A}, \mathbf{B}
A
,
B
and
C
\mathbf{C}
C
be unit vectors. Suppose
A
⋅
B
=
A
⋅
C
=
0
\mathbf{A} \cdot \mathbf{B} = \mathbf{A} \cdot \mathbf{C} = 0
A
⋅
B
=
A
⋅
C
=
0
and the angle between
B
\mathbf{B}
B
and
C
\mathbf{C}
C
is
π
4
\frac{\pi}{4}
4
π
. Then, a.
A
=
±
2
(
B
×
C
)
\mathbf{A} = \pm 2(\mathbf{B} \times \mathbf{C})
A
=
±
2
(
B
×
C
)
b.
A
=
±
2
(
B
×
C
)
\mathbf{A} = \pm \sqrt{2}(\mathbf{B} \times \mathbf{C})
A
=
±
2
(
B
×
C
)
c.
A
=
±
3
(
B
+
C
)
\mathbf{A} = \pm 3(\mathbf{B} + \mathbf{C})
A
=
±
3
(
B
+
C
)
d.
A
=
±
3
(
B
×
C
)
\mathbf{A} = \pm \sqrt{3}(\mathbf{B} \times \mathbf{C})
A
=
±
3
(
B
×
C
)
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