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  • Explain Solution R.D.Sharma Class 12 Chapter 25 Scalar Triple Product Exercise Fill In The Blank Question 11 Maths Textbook Solution.

Explain Solution R.D.Sharma Class 12 Chapter 25 Scalar Triple Product Exercise Fill In The Blank Question 11 Maths Textbook Solution.

Answers (1)

Answer: 0

HINT :- When the vectors are is same plane, they are coplanar & their scalar triple product is zero.

Given:

\overrightarrow{r}.\overrightarrow{a}=0 \overrightarrow{r}.\overrightarrow{b}=0 &\overrightarrow{r}.\overrightarrow{c}=0, for some non- zero vector \overrightarrow{r},

Solution:

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

then either  \overrightarrow{a}  is zero or if their dot product is zero, then, \overrightarrow{r}  is a vector perpendicular to all.

Thus, as all lie on same planes \vec{a} \cdot\left(\vec{b} \times \vec{c}\right)=[\vec{a}\hspace{0.2cm} \vec{b} \hspace{0.2cm}\vec{c}]       

= 0

Posted by

infoexpert21

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