Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Problem
Problem
Let
A
,
B
\mathbf{A}, \mathbf{B}
A
,
B
and
C
\mathbf{C}
C
be the unit vectors. Suppose that
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
6
\frac{\pi}{6}
6
π
then prove that
A
=
±
2
(
B
×
C
)
\mathbf{A} = \pm 2(\mathbf{B} \times \mathbf{C})
A
=
±
2
(
B
×
C
)
Browse the problem library