求直線未知數....

2007-05-12 10:15 pm
己經放低太久...麻煩幫忙一下解答!!!

設直線kx+3y-7=0與直線3x+2y-5=0互相垂直,則k=??


唔該大家....>

回答 (2)

2007-05-12 10:23 pm
✔ 最佳答案
L1 be the straight line equation of kx+3y-7=0
L2 be the straight line equation of 3x+2y-5=0

the slope of L1 = - k/3
the slope of L2 = -3/2

L1 is perpendicular to L2
therefore,
(the slope of L1 )(the slope of L2)=-1
(- k/3)(-3/2)=-1
k=-2
2007-05-12 10:39 pm
L1 be the straight line equation of kx+3y-7=0
L2 be the straight line equation of 3x+2y-5=0

the slope of L1 = - k/3
the slope of L2 = -3/2

L1 is perpendicular to L2
therefore,
(the slope of L1 )(the slope of L2)=-1
(- k/3)(-3/2)=-1
k=-2
參考: 我姐姐


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