一、选择题
1.已知三点A(1,5,-2),B(2,4,1),C(a,3,b+2)在同一条直线上,那么( )
A.a=3,b=-3 B.a=6,b=-1
C.a=3,b=2 D.a=-2,b=1
C [根据题意=(1,-1,3),=(a-1,-2,b+4),
∵与共线,∴=λ,
∴(a-1,-2,b+4)=(λ,-λ,3λ),
∴解得故选C.]
2.已知a=(2,3,-4),b=(-4,-3,-2),b=x-2a,则x等于( )
A.(0,3,-6) B.(0,6,-20)
C.(0,6,-6) D.(6,6,-6)
B [由题a=(2,3,-4),b=(-4,-3,-2),设x=(w,y,z)