Solve
`(vec a timesvec a)*vec b`

(vec i timesvec j).vec k=

If vec a and vec b are two vectors such that |bar(a)|=1,|vec b|=4,vec a*vec b=2 .If vec c=(2vec a timesvec b)-3vec b then find the angle between bar(b) and vec c is theta .Find (6 theta)/(pi)

vec i*(vec i timesvec i)=

Let vec a and vec b be two vectors such that |vec b|=1 and |vec b timesvec a|=2 .Then |(vec b timesvec a)-vec b|^(2) is equal to

"If [[vec a+vec b,vec b+vec c,vec c+vec a]]=8 then the value of [(vec a timesvec b)(vec b timesvec c)(vec c timesvec a)]^(2)/(|[vec a*vec a,vec a*vec b,vec a*vec c],[vec b*vec a,vec b*vec b,vec b*vec c],[vec c*vec a,vec c*vec b,vec c*vec c]|)=lambda

If vec a+vec b+vec c=vec 0 ,then (1) vec a timesvec b=vec b timesvec c=vec c timesvec a (2) vec a timesvec b=vec c (3) vec a.vec b=vec b.vec c=bar(c).bar a

If vec A,vec B,vec C are three non-coplanar vectors,then (vec A*(vec B timesvec C))/((vec C timesvec A)*vec B)+(vec B*(vec A timesvec C))/(vec C*(vec A timesvec B))

Volume of parallelepiped formed by vectors vec a timesvec b,vec b timesvec c and vec c timesvec a is 36 then find the volume of parallelepiped formed by the vectors vec a,vec b and vec c

show that (vec B timesvec C)*|vec A times(vec B timesvec C)|=0

Vector product of three vectors vec a,vec b and vec c of the type vec a times(vec b timesvec c) is known as vector triple product. It is defined as vec a times(vec b timesvec c) = (vec a*vec c)vec b-(vec a*vec b)vec c . Vector triple product vec a times(vec b timesvec a) is