find the angle made by the line joining (4,3) and (-2,-3) with the positive direction of x -axis.
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Answer:
Step-by-step explanation:
Let dc's of line joining two points P(x
1
,y
1
,z
1
) and Q(x
2
,y
2
,z
2
) are
PQ
x
2
−x
1
,
PQ
y
2
−y
1
,
PQ
z
2
−z
1
where PQ=
(x
2
−x
1
)
2
+(y
2
−y
1
)
2
+(z
2
−z
1
)
2
According to equation
x
1
=4,y
1
=2,z
1
=3
x
2
=4,y
2
=5,z
2
=7
∴PQ=
(4−4)
2
+(5−2)
2
+(7−3)
2
=
0+9+16
=
25
=5
∴ dC's of line joining (4,2,3) and (4,5,7) are
5
4−4
,
5
5−2
,
5
7−3
or 0,
5
3
,
5
4
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