find the angle between the lines whose direction ratios are (1,1,2) (root3 -root3,0)
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3
Answer:
The direction ratios are (1,1,2) and (
3
−1,−
3
−1,4)
Angle between them is given by
cosθ=
1
2
+1
2
+2
2
(
3
−1)
2
+(−
3
−1)
2
+4
2
1(
3
−1)+1(−
3
−1)+2/4)
=
6
8+16
3
−1−
3
−1+8
=
6
24
6
=
144
6
=
12
6
=
2
1
cosθ=
2
1
⇒θ=
3
π
=60
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