Home
Class 12
MATHS
Let vecu and vecv be unit vectors. If ve...

Let `vecu and vecv` be unit vectors. If `vecw` is a vector such that `vecw+vecwxxvecu=vecv`, then prove that `|(vecuxxvecv).vecw|le1/2` and that the equality holds if and only if `vecu` is perpendicular to `vecv`.

Promotional Banner

Similar Questions

Explore conceptually related problems

If vecu and vecv be unit vectors. If vecw is a vector such that vecw+(vecwxxvecu)=vecv then vecu.(vecvxxvecw) will be equal to

Let vecu and vecv be unit vectors such that vecu xx vecv + vecu = vecw and vecw xx vecu = vecv . Find the value of [vecu vecv vecw ]

Let veca and vecb be two non-collinear unit vectors. If vecu=veca-(veca.vecb)vecb and vecv=vecaxxvecb , then |vecv| is

If vecu, vecv, vecw are three vectors such that [vecu vecv vecw]=1 , then 3[vecu vecv vecw]-[vecv vecw vecu]-2[vecw vecv vecu]=

Let vecu,vecv and vecw be vectors such that vecu+ vecv + vecw =0 if |vecu|= 3, |vecv|=4 and |vecw|=5 then vecu.vecv + vecv .vecw + vecw .vecu is

Let vecu,vecv and vecw be vectors such that vecu+ vecv + vecw =0 if |vecu|= 3, |vecv|=4 and |vecw|=5 then vecu.vecv + vecv .vecw + vecw .vecu is

If vecu and vecv are unit vectors and theta is the acute angle between them, then 2 vecu xx 3vecv is a unit vector for

If vecu and vecv are unit vectors and theta is the acute angle between them, then 2 vecu xx 3vecv is a unit vector for

A unit vector perpendicular to vector vecV=(3,-4) is

Let veca, vecb, vecc be any three vectors.Then vectors vecu=vecaxx(vecbxxvecc), vecv=vecbxx(veccxxveca) and vecw=veccxx(vecaxxvecb) are such that they are