Let , and . Define point by the relation . Find the ratio of the areas…

MATHEMATICS · Single correct · AP · AP Precalculus · Functions with Parameters, Vectors, and Matrices · Functions with Parameters, Vectors, and Matrices

Problem

Let

A(1,2)

B(5,6)

and

C(2,1)

. Define point

D

by the relation

\vec{D}=2\vec{C}-\vec{A}

. Find the ratio of the areas

[\triangle ABD]:[\triangle ABC]

. (a)

1:2

(b)

2:1

(c)

1:1

(d)

3:2

Related theory

Distance and Section in the Plane
Vectors
Vector operations
Vector Algebra
Vector joining two points

Browse the problem library