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  • Provide solution for RD Sharma maths class 12 chapter 25 Scalar triple product exercise multiple choice question 2

Provide solution for RD Sharma maths class 12 chapter 25 Scalar triple product exercise multiple choice question 2

Answers (1)

Answer:

 0

Hint:

 Use formula of scalar triple product

Given:

\left | \overrightarrow{a} \right |=1,\: \left |\overrightarrow{b} \right |=5,\: \left | \overrightarrow{c} \right |=3

Now,

\begin{aligned} &\left [ \overrightarrow{a}-\overrightarrow{b} \qquad \overrightarrow{b}-\overrightarrow{c} \qquad \overrightarrow{c} -\overrightarrow{a} \right ] \\ &=\left [ \overrightarrow{a}\overrightarrow{b}\overrightarrow{c} \right ]-\left [ \overrightarrow{b}\overrightarrow{c}\overrightarrow{a} \right ] \end{aligned}

(From scalar product)

\begin{aligned} &=\left [ \overrightarrow{a}\overrightarrow{b}\overrightarrow{c} \right ]+\left [ \overrightarrow{a}\overrightarrow{c}\overrightarrow{b} \right ]\\ &=\left [ \overrightarrow{a}\overrightarrow{b}\overrightarrow{c} \right ]-\left [ \overrightarrow{a}\overrightarrow{b}\overrightarrow{c} \right ]\\ &=0 \end{aligned}

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Gurleen Kaur

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