Find the equation of a line : passing through the point `vec c` , parallel to the plane `vec r *vec n = p` and intersecting the line `vec r =vec a + t vec b`.

The equation of a line passing through the point vec a parallel to the plane vec r. vec n=q and perpendicular to the line vec r= vec b+t vec c is a. vec r= vec a+lambda( vec nxx vec c) b. ( vec r- vec a)xx( vec nxx vec c) c. vec r= vec b+lambda( vec nxx vec c) d. none of these

The equation of a line passing through the point vec a parallel to the plane vec r. vec n=q and perpendicular to the line vec r= vec b+t vec c is a. vec r= vec a+lambda( vec nxx vec c) b. ( vec r- vec a)xx( vec nxx vec c) c. vec r= vec b+lambda( vec nxx vec c) d. none of these

The equation of a line passing through the point vec a parallel to the plane vec rdot vec n=q and perpendicular to the line vec r= vec b+t vec c is a. vec r= vec a+lambda( vec nxx vec c) b. ( vec r- vec a)xx( vec nxx vec c) c. vec r= vec b+lambda( vec nxx vec c) d. none of these

The equation of a line passing through the point vec a parallel to the plane vec r*vec n=q and perpendicular to the line vec r=vec b+tvec c is a.vec r=vec a+lambda(vec n xxvec c) b.(vec r-vec a)xx(vec n xxvec c) c.vec r=vec b+lambda(vec n xxvec c) d.none of these

The equation of line passing through the point vec(a) parallel to the plane vec(r)*vec(n)=q and perpendicular to the line vec(r)=vec(b)+tvec(c) is -

The equation of a line passing through the point a parallel to the plane r.n=q and perpendicular to the line vecr =vecb + vec(ic) is

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 __

The vector equation of the plane passing through the origin and the line of intersection of the planes vec rdot vec a=lambdaa n d vec rdot vec b=mu is a. vec rdot(lambda vec a-mu vec b)=0 b. vec rdot(lambda vec b-mu vec a)=0 c. vec rdot(lambda vec a+mu vec b)=0 d. vec rdot(lambda vec b+mu vec a)=0

The vector equation of the plane passing through the origin and the line of intersection of the planes vec rdot vec a=lambdaa n d vec rdot vec b=mu is (a) vec rdot(lambda vec a-mu vec b)=0 (b) vec rdot(lambda vec b-mu vec a)=0 (c) vec rdot(lambda vec a+mu vec b)=0 (d) vec rdot(lambda vec b+mu vec a)=0

The vector equation of the plane passing through the origin and the line of intersection of the planes vec rdot vec a=lambdaa n d vec rdot vec b=mu is (a) vec rdot(lambda vec a-mu vec b)=0 (b) vec rdot(lambda vec b-mu vec a)=0 (c) vec rdot(lambda vec a+mu vec b)=0 (d) vec rdot(lambda vec b+mu vec a)=0