摘要:2.已知|a|=2.|b|=4.向量a与b的夹角为60°.当(a+3b)⊥(ka-b)时.实数k的值是( ) A. B. C. D. 解析:依题意得a·b=|a|·|b|·cos 60°=2×4×=4.因为(a+3b)⊥(ka-b).所以(a+3b)·(ka-b)=0.得ka2+(3k-1)a·b-3b2=0.即k+3k-1-12=0.解得k=. 答案:C
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