The plane ` vec rdot vec n=q` will contain the line ` vec r= vec a+lambda vec b ,` if a. `b.n!=0,a.n!=q` b. `b.n=,a.n!=q` c. `b.n=0,a.n=q` d. `b.n!=0,a.n=q`

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

Line vec r= vec a+lambda vec b will not meet the plane vec rdot vec n=q , if a. vec bdot vec n=0, vec adot vec n=q b. vec bdot vec n!=0, vec adot vec n!=q c. vec bdot vec n=0, vec adot vec n!=q d. vec bdot vec n!=0, vec adot vec n=q

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.

For any two vectors vec a\ a n d\ vec b , fin d\ ( vec axx vec b). vecbdot

If | vec a|=sqrt(26), | vec b|=7 a n d | vec axx vec b|=35 , fin d vec adot vec bdot

If | vec a|=10 ,\ | vec b|=2\ a n d\ | vec axx vec b|=16 find vec adot vec bdot

If vec a\ a n d\ vec b are unit vectors then write the value of | vec axx vec b|^2+( vec adot vec b)^2dot

If vec adot vec b= vec adot vec c\ a n d\ vec axx vec b= vec axx vec c ,\ vec a!=0, then vec b= vec c b. vec b=0 c. vec b+ vec c=0 d. none of these

If | vec axx vec b|=4,\ | vec adot vec b|=2,\ t h e n\ | vec a|^2| vec b|^2= 6 b. 2 c. 20 d. 8

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