If `a ,\ b` represent the diagonals of a rhombus, then ` vec axx vec b= vec0` b. ` vec adot vec b=0` c. ` vec adot vec b=1` d. ` vec axx vec b= vec a`

If vec adot vec b= vec adot vec c\ a n d\ vec axx vec b= vec axx vec c ,\ vec a!=0, then

What inference can you draw if vec axx vec b= vec0\ a n d\ vec adot vec b=0.

Show that ( vec a- vec b)xx( vec a+ vec b)=2( vec axx vec b)dot

Find | vec a- vec b|,\ if:| vec a|=3,\ | vec b|=4\ a n d\ vec adot vec b=1

If | vec a|=13 ,\ | vec b|=5\ a n d\ vec adot vec b=60 , t h e n find | vec axx vec b|dot

If the vectors vec a , vec b ,a n d vec c form the sides B C ,C Aa n dA B , respectively, of triangle A B C ,t h e n (a) vec adot vec b+ vec bdot vec c+ vec c dot vec a=0 (b) vec axx vec b= vec bxx vec c= vec cxx vec a (c). vec adot vec b= vec bdot vec c= vec c dot vec a (d). vec axx vec b+ vec bxx vec c+ vec cxx vec a=0

If vec aa n d vec b are two vectors and angle between them is theta, then | vec axx vec b|^2+( vec adot vec b)^2=| vec a|^2| vec b|^2 | vec axx vec b|=( vec adot vec b),iftheta=pi//4 vec axx vec b=( vec adot vec b) hat n ,(w h e r e hat n is unit vector, ) if theta=pi//4 ( vec axx vec b)dot( vec a+ vec b)=0

Find | vec a- vec b|,\ if:| vec a|=2,\ | vec b|=5\ a n d\ vec adot vec b=8

Find | vec a- vec b|,\ if:| vec a|=2,\ | vec b|=3\ a n d\ vec adot vec b=4

Show by a numerical example that vec axx vec b= vec axx vec c does not imply vec b= vec c dot