Let ` vec a , vec b , vec c ,` be three non-zero vectors. If ` vec adot( vec bxx vec c)=0a n d vec ba n d vec c` are not parallel, then prove that ` vec a=lambda vec b+mu vec c ,w h e r elambda` are some scalars`dot`

Explanation

Given,

`a.( vec bxx vec c)=0`

so, `veca,vecb,vec c` are coplanar

We know that condition of coplanar is ` vec a=lambda vec b+mu vec c `

Thus,if `veca,vecb,vec c` are coplanar they are linearly related