`vecu and vecn` are unit vectors and t is a scalar. If `vecn.veca!=0` solve the equation `vecrxxveca=vecu` ,`vecr.vecn=t`

A vectors vecr satisfies the equations vecr xx veca=vecb and vecr*veca=0 . Then

If veca and vecb are two given vectors and k is any scalar,then find the vector vecr satisfying vecr xx veca +k vecr=vecb .

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

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

Assertion: vecr.veca and vecb are thre vectors such that vecr is perpendicular to veca . If vecrxxveca=vecb then vecr = (vecaxxvecb)/(veca.veca) , Reason: vecr.veca=0 (A) Both A and R are true and R is the correct explanation of A (B) Both A and R are true R is not te correct explanation of A (C) A is true but R is false. (D) A is false but R is true.

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 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 .

Let vecu, vecv and vecw be three unit vectors such that vecu + vecv + vecw = veca, vecuxx (vecv xx vecw)= vecb, (vecu xx vecv) xx vecw= vecc, vec a.vecu=3//2, veca.vecv=7//4 and |veca|=2 Vector vecu is

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