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Question 1
Hard
27%
OA⃗=a \vec{OA} = \mathbf{a}
O
A
=
a
OB⃗=b \vec{OB} = \mathbf{b}
O
B
=
b
P is the point on
AB AB\,
A
B
such that
AP:PB=1:3AP:PB = 1:3
A
P
:
P
B
=
1
:
3
OP⃗=k(3a+b) \vec{OP} = k(3\mathbf{a} + \mathbf{b})
O
P
=
k
(
3
a
+
b
)
Find the value of
kk
k
.
[4]
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