问题
填空题
若非零向量a,b满足|a|=|a+b|=1,a与b夹角为120°,则 | b | = .
答案
1
因为非零向量a,b满足|a|=|a+b|=1,a与b夹角为120°则| b |2=b2,
|a+b|2=1= b2+ a2+2ab,可知| b |=1
若非零向量a,b满足|a|=|a+b|=1,a与b夹角为120°,则 | b | = .
1
因为非零向量a,b满足|a|=|a+b|=1,a与b夹角为120°则| b |2=b2,
|a+b|2=1= b2+ a2+2ab,可知| b |=1