Question

已知向量a,b满足|a|=2,|b|=4,a与b的夹角为60° (1)求(2a)×b的值 (2)若(a-2b)⊥(ka-

Answer 1

(1):(2a)x(b)=(2)x(|a||b|cos60)=8

(2):(a-2b)X(ka-b)=0 k|a||a|-|a||b|cos60-2k|a||b|cos60+2|b||b|=0 K=7