Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Problem
Problem
If
∣
A
×
B
∣
=
3
A
⋅
B
|\mathbf{A} \times \mathbf{B}| = \sqrt{3} \mathbf{A} \cdot \mathbf{B}
∣
A
×
B
∣
=
3
A
⋅
B
, then the value of
∣
A
+
B
∣
|\mathbf{A} + \mathbf{B}|
∣
A
+
B
∣
is a.
(
A
2
+
B
2
+
A
B
)
1
/
2
(A^2 + B^2 + AB)^{1/2}
(
A
2
+
B
2
+
A
B
)
1/2
b.
(
A
2
+
B
2
+
A
B
3
)
1
/
2
\left( A^2 + B^2 + \frac{AB}{\sqrt{3}} \right)^{1/2}
(
A
2
+
B
2
+
3
A
B
)
1/2
c.
(
A
+
B
)
(A + B)
(
A
+
B
)
d.
(
A
2
+
B
2
+
3
A
B
)
1
/
2
(A^2 + B^2 + \sqrt{3}AB)^{1/2}
(
A
2
+
B
2
+
3
A
B
)
1/2
Browse the problem library