HSC Arts 12th Board ExamMaharashtra State Board
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Solution for Find the volume of the parallelopiped whose coterminus edges are given by vectors 2i+3j-4k, 5i+7j+5k and 4i+5j-2k - HSC Arts 12th Board Exam - Mathematics and Statistics

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Question

Find the volume of the parallelopiped whose coterminus edges are given by vectors `2hati+3hatj-4hatk, 5hati+7hatj+5hatk and 4hati+5hatj-2hatk`

Solution

If `veca vecb and vec c` are conterminus edges of parallelopiped then the volume of the parallelopiped =`[veca vecb vecc]`

where `veca=2hati+3hatj-4hatk`

`vecb= 5hati+7hatj+5hatk`

`vecc=4hati+5hatj-2hatk`

`therefore V=[veca vecb vecc]=[[2,3,-4],[5,7,5],[4,5,-2]]`

`=2(-14-25)-3(-10-20)-4(25-28)`

`=2(-39)-3(-30)-4(-3)`

`=-78+90+12`

`=24 cube" "Unit`

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APPEARS IN

 2016-2017 (March) (with solutions)
Question 1.2.1 | 2.00 marks

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Solution for question: Find the volume of the parallelopiped whose coterminus edges are given by vectors 2i+3j-4k, 5i+7j+5k and 4i+5j-2k concept: Scalar Triple Product of Vectors. For the courses HSC Arts, HSC Science (Electronics), HSC Science (General) , HSC Science (Computer Science)
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