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  • Explain Solution R.D. Sharma Class 12 Chapter 25 Scalar Triple Product Exercise Fill In The Blank Question 10 Maths Textbook Solution.

Explain Solution R.D. Sharma Class 12 Chapter 25 Scalar Triple Product Exercise Fill In The Blank Question 10 Maths Textbook Solution.

Answers (1)

Answer: 4

HINT :-We know that for adjacent edges , \overrightarrow{a}\overrightarrow{b}&\overrightarrow{c}

Volume of parallelopiped =\left [ \overrightarrow{a}\overrightarrow{b}\overrightarrow{c} \right ]

=\left ( \overrightarrow{a}\times \overrightarrow{b} \right ).\overrightarrow{c}

Given:

Volume of parallelepiped, \left [ \overrightarrow{a}\overrightarrow{b}\overrightarrow{c} \right ]=24

And =\left (\overrightarrow{a}\times \overrightarrow{b} \right )=6

Solution:

Now , we have values of volume of parallelopiped

=\left (\overrightarrow{a}\times \overrightarrow{b} \right ).\vec{c}=24

6\overrightarrow{c}=24

 

\therefore \overrightarrow{c}=4

Where ,\overrightarrow{c} represents the height of the parallelopiped

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