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[" Prove that the two lines whose direct...

[" Prove that the two lines whose direction cosines are "],[" connected by the two relations "al+bm+cn=0" and "],[ul^(2)+vm^(2)+wn^(2)=0" are perpendicular if "],[a^(2)(v+w)+b^(2)(w+u)+c^(2)(u+v)=0],[" and parallel if "(a^(2))/(u)+(b^(2))/(v)+(c^(2))/(w)=0]

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Show that the straight lines whose direction cosines are given by the equations al+bm+cn=0 and u l^2+v m^2+w n^2=0 are parallel or perpendicular as a^2/u+b^2/v+c^2/w=0 or a^2(v +w)+b^2(w+u)+c^2(u+v)=0

Show that the straight lines whose direction cosines are given by the equations al+bm+cn=0 and u l^2+v m^2+w n^2=0 are parallel or perpendicular as a^2/u+b^2/v+c^2/w=0 or a^2(v +w)+b^2(w+u)+c^2(u+v)=0

Show that the straight lines whose direction cosines are given by the equations al+bm+cn=0 and ul^(2)+zm^(2)=vm^(2)+wn^(2)=0 are parallel or perpendicular as (a^(2))/(u)+(b^(2))/(v)+(c^(2))/(w)=0 or a^(2)(v+w)+b^(2)(w+u)+c^(2)(u+v)=0

Show that the straight lines whose direction cosines are given by the equations al+bm+cn=0 and u l^2+z m^2=v n^2+w n^2=0 are parallel or perpendicular as a^2/u+b^2/v+c^2/w=0 or a^2(v +w)+b^2(w+u)+c^2(u+v)=0

Show that the straight lines whose direction cosines are given by the equations a l+b m+c n=0 and u l^2+vm^2+wn^2=0 are parallel or perpendicular as (a^2)/u+(b^2)/v+(c^2)/w=0ora^2(v+w)+b^2(w+u)+c^2(u+v)=0.

Prove that the two lines whose direction cosines are given by the relations pl+qm+rn=0 and al^2+bm^2+cn^2=0 are perpendicular if p^2(b+c)+q^2(c+a)+r^2(a+b)=0 and parallel if p^2/a+q^2/b+r^2/c=0

Prove that the two lines whose direction cosines are given by the relations pl+qm+rn=0 and al^2+bm^2+cn^2=0 are perpendicular if p^2(b+c)+q^2(c+a)+r^2(a+b)=0 and parallel if p^2/a+q^2/b+r^2/c=0

Show that the straight lines whose direction cosines are given by the equations a l+b m+c n=0 and u l^2+z m^2=v n^2+w n^2=0 are parallel or perpendicular as (a^2)/u+(b^2)/v+(c^2)/w=0ora^2(v+w)+b^2(w+u)+c^2(u+v)=0.

Show that the straight lines whose direction cosines are given by the equations a l+b m+c n=0 and u l^2+z m^2=v n^2+w n^2=0 are parallel or perpendicular as (a^2)/u+(b^2)/v+(c^2)/w=0ora^2(v+w)+b^2(w+u)+c^2(u+v)=0.