The expression in the vector form for the point ` vec r_1` of intersection of the plane ` vec rdot vec n=d` and the perpendicular line ` vec r= vec r_0+t vec n` where `t` is a parameter given by

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+tvec b

The line of intersection of the planes vec r*(3vec i-vec j+vec k)=1 and vec r*(vec i+4vec j-2vec k)=2, 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.

The equation of the plane containing the parallel lines vec r=vec a+tvec c and vec r=vec b+phivec c is

The position vector of the image of the point vec a in the planer vec r.widehat n=d must be (d!=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 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

Find the point of intersection of the three planes vec r*vec a=1,vec r*vec b=1,vec r*vec c=1 where vec a,vec b,vec c are three non coplaner vector.

Write the equation of the plane containing the lines vec r= vec a+lambda vec b\ a n d\ vec r= vec a+mu vec c

If A is a point with position vector vec a then perpendicular distance of A from the plane vec r*widehat n=d must be