find the projection of an object on the other object - Maple Help

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geom3d[projection] - find the projection of an object on the other object

Calling Sequence

projection(Q, A, l)

projection(Q, A, p)

projection(Q, seg, p)

projection(Q, l, p)

Parameters

Q

-

the name of the object to be created

A

-

point

seg

-

line segment or a directed line segment

l

-

line

p

-

plane

Description

• 

The routine finds the projection Q of an object on the other object.

• 

For a detailed description of the object to be created Q, use the routine detail (e.g., detail(Q))

• 

The command with(geom3d,projection) allows the use of the abbreviated form of this command.

Examples

withgeom3d:

Find the equations of the projection of the line 12x12=y1=14z34 on the plane x+2y+z=6

linel,pointo,1,1,3,2,1,4:

planep,x+2y+z=6,x,y,z:

projectionl1,l,p

l1

(1)

detaill1

Warning, assume that the parameter in the parametric equations is _t
Warning, assuming that the names of the axes are _x, _y, and _z

name of the objectl1form of the objectline3dequation of the line_x=53+4_t3,_y=137_t3,_z=113+10_t3

(2)

See Also

geom3d[distance]


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