Write a vector normal to the plane ` vec r=l vec b+m vec c`

Write the equation of the plane vec r= vec a+lambda vec b+mu vec c\ in scalar product form.

Write the equation of the plane vec r= vec a+lambda vec b+mu vec c\ in scalar product form.

Let L_1, L_2, L_3 be three distinct lines in a plane P and another line L, is equally inclined with these three lines. Statement-1: The line L is normal to the plane P. because Statement-2: if non zero vector vec V is equally inclined to three non zero coplanar vector vec V_1, vec V_2, vec V_3 then the vector vec V is normal to the plane of vec V_1, vec V_2 and vec V_3

Vector normal to the plane; passing through vec a and vec b

The vector equation of the plane passing through the origin and the line of intersection of the planes vec r. vec a = lambda and vec r. vec b =mu is __

Write the position vector of the point where the line vec r= vec a+lambda vec b meets the plane vec r dot (vec n)=0.

Write the position vector of the point where the line vec r= vec a+lambda vec b meets the plane vec r dot (vec n)=0.

If vec r* vec a =0 = vec r* vec b =0 and also vec r* vec c =0 for some non-zero vector vec r , then the value of vec a*(vec b xx vec c) is........

If a vector vec a is perpendicular to two non collinear vectors vec b\ a n d\ vec c ,\ t h e n\ \ vec a\ is perpendicular to every vector in the plane of \ vec b\ a n d\ vec c

A vector equation of the line of intersection of the planes vec r = vec b + lambda_ (1) (vec b-vec a) + mu_ (1) (vec a + vec c) vec r = vec c + lambda_ (2) (vec b-vec c) + mu_ (2) (vec a + vec b) and vec a, vec b, vec c being non coplanar vectors is