Unit Vectors Equation Solution (Jee Mains)

Vector Algebra and Components

Medium

Unit Vectors Equation Solution

For three unit vectors $\overrightarrow a ,\overrightarrow b ,\overrightarrow c$ satisfying ${\left| {\overrightarrow a - \overrightarrow b } \right|^2} + {\left| {\overrightarrow b - \overrightarrow c } \right|^2} + {\left| {\overrightarrow c - \overrightarrow a } \right|^2} = 9$ and $\left| {2\overrightarrow a + k\overrightarrow b + k\overrightarrow c } \right| = 3,$
the positive value of k is :

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