Show that the vector `v = ai + bj` is perpendicular to the line `ax + by=c`.

Show that the ax+by+d =0 is perpendicular to xy-plane.

The vector p=(a*c)b-(a*b)c is be perpendicular to

The resultant of two vectors u and v is perpendicular to the vector u and its magnitude is equal to half of the magnitude of vector v.Find the angle between u and v.

If a vector vec a is perpendicular to two non-collinear vector vec b and vec c , then vec a is perpendicular to every vector in the plane of vec b and vec c .

If -> a , -> b , -> c are mutually perpendicular vectors of equal magnitudes, show that the vector -> a+ -> b+ -> c is equally inclined to -> a , -> b and -> c .

If -> a , -> b , -> c are mutually perpendicular vectors of equal magnitudes, show that the vector -> a+ -> b+ -> c is equally inclined to -> a , -> b and -> c .

Find the points on y- ais whose perpendicular distance from the line 4x-3y-12=0 is 3.

Find the points on y- ais whose perpendicular distance from the line 4x-3y-12=0 is 3.

Show that the equation of a line passing through a given point (x_(1),y_(1)) and perpendicular to the line ax+by +c =0 is b(x- x_(1))-a(y-y_(1)) =0.