- #1
dagg3r
- 67
- 0
Vector Gah!
Vector questions. Need help on these three.
In ∆OAB, OA = a and OB = b. P is a point on AB such that BP:PA 1:2.
Q is a point on the extension of OP such that OQ = 1.5OP
a) Express BP and OP in terms of ‘a’ and ‘b’.
these are the answers but how do they get it?
BP = (1/3)(a - b)
OP = (1/3)(a + 2b)
b) Show that AQ = -0.5a + b
i have no idea how to prove this
c) Given that BQ = kOA, find the value of k.
once again this is the answer but i don't know how to approach this can someone show me how to get this value thanks
k = 0.5
Vector questions. Need help on these three.
In ∆OAB, OA = a and OB = b. P is a point on AB such that BP:PA 1:2.
Q is a point on the extension of OP such that OQ = 1.5OP
a) Express BP and OP in terms of ‘a’ and ‘b’.
these are the answers but how do they get it?
BP = (1/3)(a - b)
OP = (1/3)(a + 2b)
b) Show that AQ = -0.5a + b
i have no idea how to prove this
c) Given that BQ = kOA, find the value of k.
once again this is the answer but i don't know how to approach this can someone show me how to get this value thanks
k = 0.5