若a=x+2y,b=4x+2y,c=-3x+12y(其中x,y不共线),则向量a写成λ①b+λ②c的形式是:

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若a=x+2y,b=4x+2y,c=-3x+12y(其中x,y不共线),则向量a写成λ①b+λ②c的形式是:

若a=x+2y,b=4x+2y,c=-3x+12y(其中x,y不共线),则向量a写成λ①b+λ②c的形式是:
若a=x+2y,b=4x+2y,c=-3x+12y(其中x,y不共线),则向量a写成λ①b+λ②c的形式是:

若a=x+2y,b=4x+2y,c=-3x+12y(其中x,y不共线),则向量a写成λ①b+λ②c的形式是:
由b=4x+2y,c=-3x+12y解出x,y得
x=(6b-c)/27,y=(3b+4c)/54,
代入a=x+2y得
a=x+2y=(6b-c)/27+(3b+4c)/27
=b/3+c/9.

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