问题 解答题
已知
a
=(-3,2,5)
b
=(1,-3,0)
c
=(7,-2,1)

(I)求(
a
+
b
)•
c

( II)求|
a
-
b
+2
c
|
答案

(I)

a
+
b
=(-3+1,2+(-3),5+0)=(-2,-1,5),(
a
+
b
)•
c
=(-2)×7+(-1)×(-2)+5×1=-7

( II)

a
-
b
+2
c
=(10,1,7),(
a
-
b
+2
c
 )•(
a
-
b
+2
c
)
=10×10+1×1+7×7=150,|
a
-
b
+2
c
|
=
150
=5
6

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