Supplementary Exercise Q3
Last updated at May 29, 2018 by Teachoo
Last updated at May 29, 2018 by Teachoo
Transcript
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
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Supplementary Exercise Q1 Deleted for CBSE Board 2021 Exams only
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Supplementary examples and questions from CBSE
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