Question

Let `veca=xhati+12hatj-hatk,=2hati+2xhatj+hatkand vecc=hati+hatk`. If the ordered set `[vecb vecc veca]` is left handed, then find the value of x.

Answer 1

for a left-handed system .
`[vecbveccveca]lt0`
`|{:(2,2x,1),(1,0,1),(x,12,-1):}|lt0`
`or 2(0-12)-2x(-1-x)+1(12)lt0`
` or x^(2)+x-6lt0`
`x in (-3,2)`