向量a=[cos15,sin15],b=[-sin15,-cos15],则模[a-b]的值

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/02 20:14:35
向量a=[cos15,sin15],b=[-sin15,-cos15],则模[a-b]的值

向量a=[cos15,sin15],b=[-sin15,-cos15],则模[a-b]的值
向量a=[cos15,sin15],b=[-sin15,-cos15],则模[a-b]的值

向量a=[cos15,sin15],b=[-sin15,-cos15],则模[a-b]的值
a-b=(cos15+sin15,sin15+cos15)
模=根号下((cos15+sin15)^2+(cos15+sin15)^2)
=根号下(2+4cos15sin15)
=根号下(2+2sin30)
=根号3

a-b=(cos15+sin15,sin15+cos15)
|a-b|^2=2(cos15+sin15)^2=2(1+sin30)=2(1+1/2)=3
|a-b|=√3