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  • Provide solution for RD Sharma maths class 12 chapter 25 Scalar triple product exercise multiple choice question 6

Provide solution for RD Sharma maths class 12 chapter 25 Scalar triple product exercise multiple choice question 6

Answers (1)

Answer:

 0

Hint:

 Use scalar triple product & Simplify

Given:

\frac{\overrightarrow{a}.(\overrightarrow{b}\times \overrightarrow{c})}{(\overrightarrow{c}\times \overrightarrow{a}).\overrightarrow{b}}+\frac{\overrightarrow{b}.(\overrightarrow{a}\times \overrightarrow{c})}{\overrightarrow{c}.(\overrightarrow{a}\times \overrightarrow{b})}

We know,

\begin{aligned} &\left [ \overrightarrow{a}\overrightarrow{b}\overrightarrow{c} \right ]=\overrightarrow{a}.(\overrightarrow{b}\times \overrightarrow{c})\\ &\therefore \frac{\left [ \overrightarrow{a}\overrightarrow{b}\overrightarrow{c} \right ]}{\left [ \overrightarrow{b}\overrightarrow{c}\overrightarrow{a} \right ]}+\frac{\left [ \overrightarrow{b}\overrightarrow{a}\overrightarrow{c} \right ]}{\left [\overrightarrow{c}\overrightarrow{a}\overrightarrow{b} \right ]}\\ &\left ( \because \left [ \overrightarrow{b}\overrightarrow{c}\overrightarrow{a} \right ]=\left [ \overrightarrow{a}\overrightarrow{b}\overrightarrow{c} \right ] \text { and } \left [ \overrightarrow{c}\overrightarrow{a}\overrightarrow{b} \right ]=-\left [ \overrightarrow{b}\overrightarrow{a}\overrightarrow{c} \right ] \right )\\ &=1-1\\ &=0 \end{aligned}

Posted by

Gurleen Kaur

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