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  • Explain solution RD Sharma class 12 chapter 25 Scalar triple product exercise multiple choice question 4 maths

Explain solution RD Sharma class 12 chapter 25 Scalar triple product exercise multiple choice question 4 maths

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Answer:

 0

Hint:

 When dot product is zero either both are perpendicular or one of the vectors is zero vector.

Given:

\overrightarrow{r}.\overrightarrow{a}=\overrightarrow{r}.\overrightarrow{b}=\overrightarrow{r}.\overrightarrow{c}=0

If

\overrightarrow{r}.\overrightarrow{a}=0

either

\overrightarrow{a}=0

or both

\overrightarrow{r} and \overrightarrow{a} are perpendicular to each other.

Thus, for

\left [\overrightarrow{a} \overrightarrow{b}\overrightarrow{c} \right ]

when all three are non-zero. Scalar triple product is zero if they are coplanar & perpendicular to

\overrightarrow{r}

Thus

\left [\overrightarrow{a} \overrightarrow{b}\overrightarrow{c} \right ]=0

Posted by

Gurleen Kaur

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