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  • Please Solve R.D. Sharma class 12 Chapter 25 Scalar Triple Product Exercise 25.1 Question 3 Sub Question 4 Maths textbook Solution.

Please Solve R.D. Sharma class 12 Chapter 25 Scalar Triple Product  Exercise 25.1 Question 3 Sub Question 4 Maths textbook Solution.

Answers (1)

Answer :- 4 cubic units

Hint :- Use formula of volume of parallelepiped

Given:\begin{aligned} &\vec{a}=\hat{\imath}+\hat{\jmath}+\hat{k} \\ \end{aligned}

\begin{aligned} &\vec{b}=\hat{i}-\hat{\jmath}+\hat{k} \\ &\vec{c}=\hat{\imath}+2 \hat{\jmath}-\hat{k} \\ \end{aligned}

∴Volume of parallelepiped, =\left [ \vec{a}\: \: \vec{b}\: \: \vec{c} \right ]

\begin{aligned} &=\left|\begin{array}{ccc} 1 & 1 & 1 \\ 1 & -1 & 1 \\ 1 & 2 & -1 \end{array}\right| \\ &=1(1-2)-1(-1-1)+1(2+1) \\ &=1(-1)-1(-2)+1(3) \\ &=-1+2+3 \\ &=4 \end{aligned}

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