Set, in a triangle ABC, points B 'and C such that B' divides side CA in the ratio 4: 4 from C, and C divides side AB in the ratio 3: 5 from A. Denote the point of intersection between BB 'and cc with T. The vectors AB and AC in the triangle are non-parallel and therefore form a base in the plane. Determine the coordinates of the vector AT in this base.

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hand written asap (my problem is related to geometry calculus)
Set, in a triangle ABC, points B 'and C such that
B' divides side CA in the ratio 4: 4 from C, and C
divides side AB in the ratio 3: 5 from A. Denote
the point of intersection between BB 'and CC
with T. The vectors AB and AC in the triangle are
non-parallel and therefore form a base in the
plane. Determine the coordinates of the vector
AT in this base.
Transcribed Image Text:Set, in a triangle ABC, points B 'and C such that B' divides side CA in the ratio 4: 4 from C, and C divides side AB in the ratio 3: 5 from A. Denote the point of intersection between BB 'and CC with T. The vectors AB and AC in the triangle are non-parallel and therefore form a base in the plane. Determine the coordinates of the vector AT in this base.
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