If `( vec axx vec b)^2+( vec a.vec b)^2=144 and | vec a|=4,` then find the value of `| vec b|dot`

If | vec a X vec b|^2+| vec adot vec b|^2=400 and | vec a|=5, then write the value of | vec b|dot

If | vec axx vec b|^2=( vec adot vec b)^2=144\ a n d\ | vec a|=4 , find vec bdot

If | vec a|=| vec b|=| vec a+ vec b|=1, then find the value of | vec a- vec b|dot

If | vec a|=2| vec b|=5 and | vec axx vec b|=8, then find the value of vec a . vec bdot

If vector vec x satisfying vec xxx vec a+( vec xdot vec b) vec c= vec d is given vec x=lambda vec a+ vec axx( vec axx( vec dxx vec c))/(( vec adot vec c)| vec a|^2) , then find the value of lambdadot

If vec aa n d vec b are two vectors such that | vec axx vec b|=2, then find the value of [ vec a vec b vec axx vec b]dot

If vec a , vec b ,a n d vec c are three non-coplanar vectors, then find the value of ( vec adot( vec bxx vec c))/( vec b dot( vec cxx vec a))+( vec b dot( vec cxx vec a))/( vec c dot( vec axx vec b))+( vec c dot( vec bxx vec a))/( vec a dot( vec bxx vec c))dot

if | vec(a) xx vec(b) |^(2) +| vec(a). vec(b)|^(2)= 144 and | vec(a) | =4 then |vec(b) | is equal to

Given | vec a|=| vec b|=1a n d| vec a+ vec b|=sqrt(3). If vec c is a vector such that vec c- vec a-2 vec b=3( vec axx vec b), then find the value of vec c. vec b

If two vectors vec a\ a n d\ vec b are such that | vec a|=2,\ | vec b|=1\ a n d\ vec adot vec b=1, then find rthe value of (3 vec a-5 vec b)dot'(2 vec a+7 vec b)'dot