The volume of he parallelepiped whose sides are given by ` vec O A=2i-2, j , vec O B=i+j-ka n d vec O C=3i-k` is a. `4//13` b. `4` c. `2//7` d. `2`

Options

A. `4//13`
B. 4
C. `2//7`
D. 2

Answer

d

Explanation

Volume of parallelepiped = `[veca vecb vecc]`
`|{:(2,-2,0),(1,1,-1),(3,0,-1):}|=2(-1)+_2(-1+3)=2`