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Last updated at May 29, 2018 by Teachoo

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Supplementary Exercise Q3 Find the volumes of the following parallelepipeds whose three co –terminus edges are (i) 𝑎 = 2 𝑖 − 3 𝑗 + 4 𝑘, 𝑏 = 3 𝑖 − 𝑗 + 2 𝑘, and 𝑐 = 𝑖 + 2 𝑗 − 𝑘, Given, 𝑎 = 2 𝑖 − 3 𝑗 + 4 𝑘 , 𝑏 = 3 𝑖 – 𝑗 + 2 𝑘 , 𝑐 = 𝑖 + 2 𝑗 – 𝑘 Volume of parallelepiped = 𝒂 𝒃 𝒄 = 2−343−1212−1 = 2 −1×−1−(2×2) − (−3) 3×−1−(1×2) + 4 3×2−(1×−1) = 2 1−4+3 −3−2+4 6+1 = 2(–3) + 3 (–5) + 4(7) = –6 – 15 + 28 = 7 Supplementary Exercise Q3 Find the volumes of the following parallelepipeds whose three co –terminus edges are (ii) 𝑎 = 𝑖 − 2 𝑗 + 3 𝑘, 𝑏 = 2 𝑖 + 𝑗 − 𝑘, and 𝑐 = 2 𝑖 + 𝑗 − 𝑘, Given, 𝑎 = 𝑖 − 2 𝑗 + 3 𝑘 , 𝑏 = 2 𝑖 + 𝑗 – 𝑘 , 𝑐 = 2 𝑖 + 𝑗 – 𝑘 Volume of parallelepiped = 𝒂 𝒃 𝒄 = 1−2321−121−1 = 1 1×−1−(1×−1) − (−2) 2×−1−(2×−1) + 3 2×1−(2×1) = 1 −1+1+2 −2+2+3 2−2 = 1(0) + 2 (0) + 3(0) = 0

Supplementary examples and questions from CBSE

Supplementary Example 1
Not in Syllabus - CBSE Exams 2021

Supplementary Example 2 Not in Syllabus - CBSE Exams 2021

Supplementary Example 3 Not in Syllabus - CBSE Exams 2021

Supplementary Example 4 Not in Syllabus - CBSE Exams 2021

Supplementary Example 5 Not in Syllabus - CBSE Exams 2021

Supplementary Example 6 Not in Syllabus - CBSE Exams 2021

Supplementary Exercise Q1 Not in Syllabus - CBSE Exams 2021

Supplementary Exercise Q2 Not in Syllabus - CBSE Exams 2021

Supplementary Exercise Q3 Not in Syllabus - CBSE Exams 2021 You are here

Supplementary Exercise Q4 Not in Syllabus - CBSE Exams 2021

Supplementary Exercise Q5 Not in Syllabus - CBSE Exams 2021

Supplementary Exercise Q6 Not in Syllabus - CBSE Exams 2021

Supplementary Exercise Q7 Not in Syllabus - CBSE Exams 2021

Supplementary Exercise Q8 Not in Syllabus - CBSE Exams 2021

Supplementary Exercise Q9 Not in Syllabus - CBSE Exams 2021

Supplementary Exercise Q10 Not in Syllabus - CBSE Exams 2021

About the Author

Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.