问题 填空题
已知
a
=3
i
+2
j
-
k
b
=
i
-
j
+2
k
,则5
a
与3
b
的数量积等于______.
答案

a
=3
i
+2
j
-
k
=(3,2,-1),5
a
=(15,10,-5)

b
=
i
-
j
+2
k
=(1,-1,2),3
b
=(3,-3,6)

5

a
•3
b
=15×3+10×(-3)+(-5)×6=-15

故答案为:-15

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