Find `vec A*(vec A+vec B)` =?

Find vec a +vec b if vec a = hat i - hat j and vec b =2 hat i

Find [ vec a\ vec b\ vec c] , when : vec a=2 hat i-3 hat j ,\ vec b= hat i+ hat j- hat k\ a n d\ vec c=3 hat i- hat k .

Find [ vec a\ vec b\ vec c] , when : vec a= hat i-2 hat j+3 hat k ,\ vec b=2 hat i+ hat j- hat k\ a n d\ vec c= hat j+ hat k .

Find vec(a) * vec(b) if |vec(a)| = 6, |vec(b)| = 4 and |vec(a) xx vec(b)| = 12

Find ( vec a+3 vec b).(2 vec a- vec b) , If vec a= hat i+ hat j+2 hat k and vec b=3 hat i+2 hat j- hat k

Let vec a , vec b and vec c be three vectors such that | vec a|=3,| vec b|=4,| vec c|=5 and each one of them being perpendicular to the sum of the other two, find | vec a+ vec b+ vec c| .

Given three vectors vec a , vec b ,a n d vec c two of which are non-collinear. Further if ( vec a+ vec b) is collinear with vec c ,( vec b+ vec c) is collinear with vec a ,| vec a|=| vec b|=| vec c|=sqrt(2)dot Find the value of vec a. vec b+ vec b. vec c+ vec c. vec a a. 3 b. -3 c. 0 d. cannot be evaluated

Find | vec a|a n d| vec b|,if( vec a - vec b)dot ( vec a+ vec b) =27 and | vec a|=2| vec b|dot

Find | vec a| and | vec b| , if ( vec a+ vec b)dot(( vec a- vec b))=8 and |vec a|=8 | vec b|

If vec a , vec b , vec c are mutually perpendicular unit vectors, find |2 vec a+ vec b+ vec c|dot