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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.

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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