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Need solution for RD Sharma maths class 12 chapter Vector or Cross Product exercise 24.1 question 15

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Answer          : \vec{a}+\vec{c}=m \vec{b}

Hint                : Here m is the constant team

Given             :\vec{a} \times \vec{b}=\vec{b} \times \vec{c}

                        \vec{a} \times \vec{b}-\vec{b} \times \vec{c}=0

Solution        :

\begin{aligned} &\vec{b} \times \vec{c}=-\vec{c} \times \vec{b} \text { (substitute) } \\\\ &\vec{a} \times \vec{b}+\vec{c} \times \vec{b}=0 \\\\ &(\vec{a}+\vec{c}) \times \vec{b}=0 \\\\ &\vec{a}+\vec{c}=m \vec{b} \end{aligned}

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