If `|vec a|`=5,`|vec b|=13`,`|vec a timesvec b|=25` then find the value of `vec a*vec b`

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

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

If two vectors vec a and vec b are such that |vec a|=2,|vec b|=1 and vec avec b=1, then find rthe value of (3vec a-5vec b)2vec a+7vec b

If |vec a|=2,|vec b|=1 and vec a*vcb=1 then find the value of (3vec a-5vec b)*(2vec a+vec 7vec b)

If vec a,vec b and vec c be three vectors such that vec a+vec b+vec c=0,|vec a|=1,|vec c|=3,|vec b|=2, Then find the value of vec a.vec b+vec b.vec c+vec c.vec a

If theta is angle between vec a and vec b and |vec a.vec b|=|vec a timesvec b| then find the value of theta

If |vec a|=5,|vec a-vec b|=8 and |vec a+vec b|=10, then find |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 and vec b are two vectors such that |vec a xxvec b|=2, then find the value of [vec a,vec b,vec a xxvec b]

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