`" If "A(1,2,3)," B "(2,3,1),C(3,1,2)" then the length of the altitude through "C" is "`

If A(-3,0),B(4,-1),C(5,2) are vertices of Delta ABC then the length of altitude through A is

If A(-3,0),B(4,-1),C(5,2) are vertices of triangle ABC, then the length of altitude through A is

If p_(1),p_(2),p_(3) are the lengths of the altitudes ofa tringle from the vertices A,B,C,then (1)/(p_(1)^(2))+(1)/(p_(2)^(2))+(1)/(p_(3)^(2))=

In the triangle ABC with vertices A(2,3),B (4, 1) and C(1,2) ,find the equation and length of altitude from the vertex A .

In a triangle ABC ,with vertices A(2,3),B(4,-1) and C(1,2) then foot of the altitude which is drawn from the vertex C is

A(1,-1)B(4,-1)C(4,3) are the vertices of a triangle.Then the equation of the altitude through the vertex ^(1)A' is

If A(x_1, y_1),B(x_2, y_2),C(x_3, y_3) are the vertices of a triangle, then the equation |x y1x_1y_1 1x_2y_3 1|+|x y1x_1y_1 1x_3y_3 1|=0 represents (a)the median through A (b)the altitude through A (c)the perpendicular bisector of B C (d)the line joining the centroid with a vertex

A plane passes through the points A(1,2,3), B(2,3,1) and C(2,4,2) . If O is the origin and P is (2,-1,1) , then the projection of vec(OP) on the plane is of length :