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Mathematics 22 Online
OpenStudy (poofypenguin):

What is the vector equation of the line r= (0, 2, -1) + t(1,0,1), reflected in the plane 2x – y + z – 9 = 0.

OpenStudy (anonymous):

would this be a dot product of the <1,0,1> with a vector in the plane?

OpenStudy (turingtest):

what do you mean "reflected in the plane"? do you mean "projected in the plane" or "reflected about the plane"?

OpenStudy (amistre64):

reflect .... yeah, same q lol

OpenStudy (poofypenguin):

yes, i meant reflected about the plane... as in i guess mirrored over?

OpenStudy (amistre64):

|dw:1334521475849:dw| like this?

OpenStudy (amistre64):

|dw:1334521500312:dw| or this?

OpenStudy (poofypenguin):

yes! like those pictures!

OpenStudy (amistre64):

must be fuzzy logic :)

OpenStudy (poofypenguin):

more likely the firest one... where P is the plane.

OpenStudy (amistre64):

well, both are doable; but the answer to the q is different depending onwhich is meant :)

OpenStudy (amistre64):

if we know the angle between the line and the plane; we can simply rework it for a reflection thru the plane

OpenStudy (poofypenguin):

the anlge is unknown... the only given information is what i asked in the origninal question... meep...

OpenStudy (amistre64):

|dw:1334521655795:dw|

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