Home/ Questions/Q 493751
Next
In Process
Payal Shukla
Asked: 2022-10-29T16:38:52+05:30 In:

Find the volume ofthe parallelepiped whose coterminous edges are represented by the vector: ` vec a=2 hat i+3 hat j+4 hat k , vec b= hat i+2 hat j- hat k , vec c=3 hat i- hat j+2 hat k`.
A. 21 cubic units
B. 14 cubic units
C. 7 cubic units
D. none of these

Find the volume ofthe parallelepiped whose coterminous edges are represented by the vector: ` vec a=2 hat i+3 hat j+4 hat k , vec b= hat i+2 hat j- hat k , vec c=3 hat i- hat j+2 hat k`.
A. 21 cubic units
B. 14 cubic units
C. 7 cubic units
D. none of these
Parabola
Leave an answer

Leave an answer

Browse

1 Answer

  1. Correct Answer – C
    We have
    `(vec(a)xxvec(b)).vec(c)=|(2,-3,4),(1,2,-1),(3,-1,2)|=2(4-1)+3(2+3)+4(-1-6)`
    `=(6+15-28)=-7`.
    `:.` volume of the parallelopiped
    `=|(vec(a)xxvec(b)).vec(c)|=|-7|=7` cubic units.

    • 0