问题 解答题
已知|
a
|=3
b
=(-1,
3
)

(1)若
a
b
,求
a

(2)若
a
b
,求
a
答案

(1)设

a
=(x,y),

|

a
|=3,
b
=(-1,
3
)

a
b

x2+y2=9
-x+
3
y=0

解得

x=
3
3
2
y=
3
2
,或
x=-
3
3
2
y=-
3
2

a
=(
3
3
2
3
2
),或
a
=(-
3
3
2
,-
3
2
).

(2):(1)设

a
=(x,y),

|

a
|=3,
b
=(-1,
3
)

a
b

x2+y2=9
-1
x
=
3
y

解得

x=
3
2
y=-
3
3
2
,或
x=-
3
2
y=
3
3
2

a
=(
3
2
,-
3
3
2
),或
a
=(-
3
2
3
3
2
)

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