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  • Please Solve R.D.Sharma class 12 Chapter 25 Scalar Triple Product Exercise Fill In The Blanks Question 3 Maths textbook Solution.

Please Solve R.D.Sharma class 12 Chapter 25 Scalar Triple Product  Exercise Fill In The Blanks Question 3 Maths textbook Solution.

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Answer:    1

HINT : Simplify the numerator

Given:  \frac{(\vec{b} \times \vec{c}) \cdot(\vec{a}+\vec{b}+\vec{c})}{[\vec{a} \vec{b} \vec{c}]}

Solution:\frac{(\vec{b} \times \vec{c}) \cdot(\vec{a}+\vec{b}+\vec{c})}{[\vec{a} \vec{b} \vec{c}]}

=\frac{(\vec{b} \times \vec{c}) \cdot \vec{a}+(\vec{b} \times \vec{c}) \cdot \vec{b}+(\vec{b} \times \vec{c}) \cdot \vec{c}}{|\vec{a} \vec{b} \vec{c}|}

\begin{aligned} &\frac{[\vec{a} \vec{b} \vec{c}]+0+0}{\lfloor\vec{a} \vec{b} \vec{c}]} =1 \end{aligned}

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