Question
The coordinates of the point P which divides the line segment joining A(1,-2,3) and B(3,4,-5) externally in the ratio 2:3 is
Answer: Option C
:
C
Let P(x,y,z) divide the line segment joining A(1,-2,3) and B(3,4,-5) externally in the ratio 2:3. Therefore,
x=2×3+(−3)×12+(−3)=−3y=2×4+(−3)×(−2)2+(−3)=−14z=2×(−5)+(−3)×32+(−3)=19
P=(−3,−14,19)
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:
C
Let P(x,y,z) divide the line segment joining A(1,-2,3) and B(3,4,-5) externally in the ratio 2:3. Therefore,
x=2×3+(−3)×12+(−3)=−3y=2×4+(−3)×(−2)2+(−3)=−14z=2×(−5)+(−3)×32+(−3)=19
P=(−3,−14,19)
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