Find `| vec x|` , if for a unit vector ` vec a ,\ ( vec x- vec a).( vec x+ vec a)=15.`

Find | vec x| if for a unit vector vec a ,\ ( vec x- vec a)dot \ ( vec x+ vec a)=15.

find |vec x| , if for a unit vector vec a, (vec x- vec a)( vec x + vec a) =12

In sub-parts (i) and (ii) choose the correct option and in sub-parts (iii) to (v), answer the questions as instructed. Find abs(vec(x)) , if for a unit vector vec(a), (vec(x)-vec(a))*(vec(x)+vec(a))=12

If vec a is a unit vector and (vec x - vec a).(vec x + vec a)=8 , then find |vec x|

If vec a\ is a unit vector, then find | vec x| in each of the following: ( vec x- vec a)dot'( vec x+ vec a)=12

If vec a\ is a unit vector, then find | vec x| in each of the following: ( vec x- vec a)dot'( vec x+ vec a)=8

If vec a is a unit vector and ( vec x- vec a)dot( vec x+ vec a)=24 , then write the value of | vec x|

If vec p is a unit vector and ( vec x-\ vec p).( vec x+\ vec p)=80 , then find | vec x|

Find | vec a- vec b|, if two vector vec a and vec b are such that | vec a|=2,| vec b|=3 and vec adot vec b=4 .

Let vec a , vec ba n d vec c be unit vectors, such that vec a+ vec b+ vec c= vec x , vec adot vec x=1, vec bdot vec x=3/2,| vec x|=2. Then find the angel between c and x dot