填空题向量a,b互相垂直,且∣a∣=1,则a·(a+b)=____.
填空题
向量a,b互相垂直,且∣a∣=1,则a·(a+b)=____.
参考解析
解析:
由a⊥b,得a·b=0而a2=∣a∣2=1.所以a·(a+b)=a2+a·b=1.
由a⊥b,得a·b=0而a2=∣a∣2=1.所以a·(a+b)=a2+a·b=1.
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