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Mathematics
Mathematics
Problem
Given the following information about the non-zero vectors
A
\mathbf{A}
A
,
B
\mathbf{B}
B
and
C
\mathbf{C}
C
-
(
A
×
B
)
×
A
=
0
(\mathbf{A} \times \mathbf{B}) \times \mathbf{A} = 0
(
A
×
B
)
×
A
=
0
-
B
⋅
B
=
4
\mathbf{B} \cdot \mathbf{B} = 4
B
⋅
B
=
4
-
A
⋅
B
=
−
6
\mathbf{A} \cdot \mathbf{B} = -6
A
⋅
B
=
−
6
-
B
⋅
C
=
6
\mathbf{B} \cdot \mathbf{C} = 6
B
⋅
C
=
6
Which one of the following holds good? a.
A
×
B
=
0
\mathbf{A} \times \mathbf{B} = 0
A
×
B
=
0
b.
A
⋅
(
B
×
C
)
=
0
\mathbf{A} \cdot (\mathbf{B} \times \mathbf{C}) = 0
A
⋅
(
B
×
C
)
=
0
c.
A
⋅
A
=
8
\mathbf{A} \cdot \mathbf{A} = 8
A
⋅
A
=
8
d.
A
⋅
C
=
−
9
\mathbf{A} \cdot \mathbf{C} = -9
A
⋅
C
=
−
9
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