If \[|\vec{A}\times \vec{B}|\,=\sqrt{3}\,\vec{A}\,.\,\vec{B}\,,\] then the value of \[|\vec{A}+\vec{B}|\] is:

\[{{\left( {{\text{A}}^{\text{2}}}\text{+}{{\text{B}}^{\text{2}}}\text{+}\frac{\text{AB}}{\sqrt{\text{3}}} \right)}^{1/2}}\]

\[{{\left( {{\text{A}}^{\text{2}}}\text{+}{{\text{B}}^{\text{2}}}\text{+}\sqrt{\text{3}}\text{AB} \right)}^{1/2}}\]

\[{{\left( {{\text{A}}^{\text{2}}}\text{+}{{\text{B}}^{\text{2}}}\text{+AB} \right)}^{1/2}}\]

If \[|\vec{A}\times \vec{B}|\,=\sqrt{3}\,\vec{A}\,.\,\vec{B}\,,\] then

1.	If \[\|\vec{A}\times \vec{B}\|\,=\sqrt{3}\,\vec{A}\,.\,\vec{B}\,,\] then the value of \[\|\vec{A}+\vec{B}\|\] is:
A.	\[{{\left( {{\text{A}}^{\text{2}}}\text{+}{{\text{B}}^{\text{2}}}\text{+}\frac{\text{AB}}{\sqrt{\text{3}}} \right)}^{1/2}}\]
B.	\[\text{A+B}\]
C.	\[{{\left( {{\text{A}}^{\text{2}}}\text{+}{{\text{B}}^{\text{2}}}\text{+}\sqrt{\text{3}}\text{AB} \right)}^{1/2}}\]
D.	\[{{\left( {{\text{A}}^{\text{2}}}\text{+}{{\text{B}}^{\text{2}}}\text{+AB} \right)}^{1/2}}\]
Answer» E.