- #1
lolimcool
- 20
- 0
Homework Statement
P is the point where the diagonals of the parallelogram abcd intersect one another
let [itex]\alpha = AB[/itex] and [itex]\beta = AD[/itex] and let s and t be scalars such that [itex]AP = sAC[/itex] and [itex]BP = tBD[/itex]
use vector algebra to show that
[itex]s(\alpha + \beta) = AP = \alpha + t(\beta - \alpha)[/itex]
The Attempt at a Solution
ok so
s(AB + AD) = AP = AB + t(AD - AB)
s(AC) = AP = AB + t(BD) (s(AC) and AP have the same direction so s(AC) = AP)
AP = AB + t(BD)
AP = AB + BP
AP = AP
is that right?and could someone explain to me the principle of planar independence