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  • Please solve RD Sharma class 12 chapter 25 Scalar triple product exercise multiple choice question 9 maths textbook solution

Please solve RD Sharma class 12 chapter 25 Scalar triple product exercise multiple choice question 9 maths textbook solution

Answers (1)

Answer:

 6

Hint:

 Simplify the expression

Given:

\begin{aligned} &\left [ 2\overrightarrow{a}+4\overrightarrow{b} \quad \overrightarrow{c} \quad \overrightarrow{d} \right ]=\lambda \left [ \overrightarrow{a} \quad \overrightarrow{c} \quad \overrightarrow{d} \right ]+\mu \left [ \overrightarrow{b} \quad \overrightarrow{c} \quad \overrightarrow{d} \right ]\\ &\left [ 2\overrightarrow{a}+4\overrightarrow{b} \quad \overrightarrow{c} \quad \overrightarrow{d} \right ]= \left [ 2\overrightarrow{a} \quad \overrightarrow{c} \quad \overrightarrow{d} \right ]+\left [ 4\overrightarrow{b} \quad \overrightarrow{c} \quad \overrightarrow{d} \right ]\\ &=2 \left [ \overrightarrow{a} \quad \overrightarrow{c} \quad \overrightarrow{d} \right ]+4\left [ \overrightarrow{b} \quad \overrightarrow{c} \quad \overrightarrow{d} \right ]\\ \end{aligned}

Comparing we get

\begin{aligned} &\lambda =2,\mu =4\\ &\lambda +\mu =2+4\\ &\lambda +\mu =6 \end{aligned}

Posted by

Gurleen Kaur

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