Let = x a + y b + z c and .( a b + b c + c a) = 2(x + y + z) (whe… - Vidyadip

Question

Let $\vec \lambda = x\vec a + y\vec b + z\vec c$ and $\vec \lambda .(\vec a \times \vec b + \vec b \times \vec c + \vec c \times \vec a) = 2(x + y + z)$ (where $x + y + z \neq 0)$ then $\left[ {\vec a\,\,\vec b\,\,\vec c} \right]$ is

✓

Answer

d
$(x \vec{a}+y \vec{b}+2 \vec{c}) \cdot(\vec{a} \times \vec{b}+\vec{b} \times \vec{c}+\vec{c} \times \vec{a})$

$=2(x+y+z)$

$(x + y + z)\left[ {\begin{array}{*{20}{l}}
{\overrightarrow a }&{\overrightarrow b }&{\overrightarrow c }
\end{array}} \right] = 2(x + y + z)$

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