If `| vec ax 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

(vec a xxvec b)^(2)+(vec a*vec b)^(2)=144 and |vec a|=4 then find the value of |vec b|

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

Let vec a , vec b , vec c are three vectors , such that vec a + vec b + vec c = vec 0 .If , |vec a|=3 , |vec b|=4 and | vec c|=5 , then the value of, |vec a+vec b|^(2) + |vec b-vec c|^(2) + |vec c+vec a|^(2) , equal to :

If vec a, vec b and vec c are perpendicular to vec b + vec c, vec c + vec a, vec a + vec b respectively and if | vec a + vec b | = 6, | vec b + vec c | = 8 and | vec c + vec a | = 10 then find the value of vec a + vec b + vec c

If |vec a|=2,|vec b|=5 and vec avec b=2, find |vec a-vec b|

If |vec(a) | = 3, |vec(b)|= 4 and |vec(a)- vec(b)|=5 , then what si the value of |vec(a) + vec(b)| =?

If | vec a | = 5, | vec b | = 4 and | vec c | = 3 thus what will be the value of | vec a * vec b + vec b * vec c + vec c * vec a | given vec a + vec b + vec c = 0

If |vec(a)|=3, |vec(b)|=4 and |vec(a)-vec(b)|=5 , then what is the value of |vec(a)+vec(b)|=?

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