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Condition of coplanarity of two lines an...

Condition of coplanarity of two lines and equation of the plane containing them

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Condition for Perpendicularity of two lines.

If the straight lines (x-1)/(2)=(y+1)/(lamda)=(z)/(2)and(x+1)/(5)=(y+1)/(2)=(z)/(lamda) are coplanar, find lamda and equations of the planes containing theses two lines.

Show that the lines (x+1)/(-3)=(y-3)/2=(z+2)/1\ a n d\ x/1=(y-7)/(-3)=(z+7)/2 are coplanar. Also, find the equation of the plane containing them.

Show that the lines (x-3)/2=(y+1)/(-3)=(z+2)/1 and (x-7)/(-3)=y/1=(z+7)/2 are coplanar. Also find the equation of the plane containing them.

Show that the lines (x-3)/2=(y+1)/(-3)=(z+2)/1 and (x-7)/(-3)=y/1=(z+7)/2 are coplanar. Also find the equation of the plane containing them.

Show that the lines (x-3)/2=(y+1)/(-3)=(z+2)/1 and (x-7)/(-3)=y/1=(z+7)/2 are coplanar. Also find the equation of the plane containing them.

Show that the lines (x+1)/(-3)=(y-3)/2=(z+2)/1\ a n d\ x/1=(y-7)/(-3)=(z+7)/2 are coplanar. Also, find the equation of the plane containing them.

Show that the lines (x+1)/(-3)=(y-3)/(2)=(z+2)/(1)and(x)/(1)=(y-7)/(-3)=(z+7)/(2) are coplanar. Also, find the equation of the plane containing them.

Show that the four points : (0,-1,1),(4,5,1),(3,9,4),(-4,4,4) are coplanar. Also find the equation of the plane containing them.

Show that the lines (x+3)/(-3)=(y-1)/(1)=(z-5)/(5) and (x+1)/(-1)=(y-2)/(2)=(z-5)/(5) and are coplanar.Also,find the equation of the plane containing these lines.