Saved Bookmarks
| 1. |
A vector coplanar with vectoreshati+ hatjandhatj + hatkand parallel to the vector2 hati- 2 hatj- 4hatk is |
|
Answer» `HATI - hatk` `a=x (hati +hatj)+y (hatj +hatk)` `impliesa=xhati +(x+y)hatj +yhatk` Itis giventhata isparaallelto` 2 hati- 2 hatj- 4 hatk ` ` thereforea= LAMDA( 2 hati- 2hatj- 4 hatk )` for some SCALAR ` lamda `. `implies [ x hati +(x+y)hatj +yhatk ]= lamda (2 hati- 2hatj - 4 hatk)` `implies x= 2 lamda , x+y=- 2 lamdaandy=- 4 lamda ` `implies x=2lamdaandy=-4 lamda ` `thereforea= 2 lamda( hati - hatj- 2hatk )` , where`lamda inR.` |
|