the direction cosines of the directed line from P(1,-2,4) to Q(-1,1,-2) are?
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Answer:
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Step-by-step explanation:
Given the points are P(1,−2,4) and Q(−1,1,−2).
Now the direction ratios of the ray PQ are (−1−1,1+2,−2−4)=(−2,3,−6).
The direction cosines of the line PQ will be (
2
2
+3
2
+6
2
2
,
2
2
+3
2
+6
2
3
,
2
2
+3
2
+6
2
−6
)=(
7
−2
,
7
3
,
7
−6
).
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