Saved Bookmarks
| 1. |
Three points with position vectors a, b and c will be collinear, if there exist scalars x, y and z such that (where x + y + z = 0) |
|
Answer» X a + y b = z c `AB = LAMBDA AC` `implies b-a=lambda(c-a)` `implies (lambda-1)a+b+(-lambda)c=0` `implies xa+yb+zc=0` where, `x = lambda - 1, y = 1, z = - lambda` `implies xa + yb + zc = 0` such that x + y + z = 0 |
|