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julien778899
@julien778899
June 2021
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Aidez moi SVP URGENT
Vecteurs
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slyz007
Verified answer
1) AP=1/4*AB donc x=1/4
BQ=3/7*BC donc y=3/7
AR=-1/3*AC donc z=-1/3
2) PR=PA+AR=-1/4*AB-1/3*AC
3) PQ=PA+AB+BQ=-1/4*AB+AB+3/7*BC=3/4*AB+3/7*(BA+AC)
PQ=3/4*AB-3/7*AB+3/7*AC=21/28*AB-12/28*AB+3/7*AC
PQ=9/28*AB+3/7*AC
4) PQ=9/28*AB+3/7*AC=-9/7*(-1/4*AB-1/3*AC)=-9/7*PR
donc PQ et PR sont colinéaires et P, Q et R sont alignés.
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Verified answer
1) AP=1/4*AB donc x=1/4BQ=3/7*BC donc y=3/7
AR=-1/3*AC donc z=-1/3
2) PR=PA+AR=-1/4*AB-1/3*AC
3) PQ=PA+AB+BQ=-1/4*AB+AB+3/7*BC=3/4*AB+3/7*(BA+AC)
PQ=3/4*AB-3/7*AB+3/7*AC=21/28*AB-12/28*AB+3/7*AC
PQ=9/28*AB+3/7*AC
4) PQ=9/28*AB+3/7*AC=-9/7*(-1/4*AB-1/3*AC)=-9/7*PR
donc PQ et PR sont colinéaires et P, Q et R sont alignés.