课时作业
1.(2019·吉林市调研)如果向量a=(2,0),b=(1,1),那么下列结论正确的是(  )
A.|a|=|b|                             B.a·b=2
C.(a-b)⊥b                            D.a∥b
答案 C
解析 |a|=2,|b|=,A错误;a·b=2,B错误;(a-b)·b=(1,-1)·(1,1)=0,∴(a-b)⊥b,C正确.故选C.
2.若|a|=2,|b|=,a与b的夹角θ=150°,则a·(a-b)=(  )
A.1                                    B.-1 
C.7                                    D.-7
答案 C
解析 a·(a-b)=a2-a·b=4-2××=7.故选C.
3.(2019·全国卷Ⅱ)已知=(2,3),=(3,t),||=1,则·=(  )
A.-3                                  B.-2 
C.2                                    D.3
答案 C