find the direction cosines direction ratios and the direction angelsof the line joining the point (1, 2,-1) and (-2, 3,5)
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Answer:
Given the points A(1,3,5)&B(−1,0,−1)
Direction ratios are a=−1−1=−2
b=0−3=−3
c=−1−5=−6,
Now,
a
2
+b
2
+c
2
=
(−2)
2
+(−3)
2
+(−6)
2
=
4+9=36
=
49
=7
Direction cosines are
l=
a
2
+b
2
+c
2
a
=
7
−2
m=
a
2
+b
2
+c
2
b
=
7
−3
n=
a
2
+b
2
+c
2
c
=
7
−
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