HSC Science (Electronics) 12th Board ExamMaharashtra State Board
Account
It's free!

User


Login
Create free account


      Forgot password?
Share
Notifications

View all notifications
Books Shortlist
Your shortlist is empty

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

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`

  Is there an error in this question or solution?

APPEARS IN

 2016-2017 (March) (with solutions)
Question 1.2.1 | 2 marks
 2015-2016 (July) (with solutions)
Question 3.2.3 | 4 marks

Video TutorialsVIEW ALL [1]

Reference Material

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 Science (Electronics), HSC Science (General) , HSC Arts, HSC Science (Computer Science)
S