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

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 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 uvecu xx 3vecv is a unit vector for

Let vecu , vecv and vecw be vectors in three-dimensional space, where vecu and vecv are unit vectors which are not perpendicular to each other and vecu.vecw=1 , vecv.vecw=1 , vecw.vecw=4 If the volume of the parallelepiped, whose adjacent sides are represented by the vectors vecu , vecv and vecw is sqrt2 then the value of abs(3u+5vecv) is

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

Let veca, vecb and vecc are three mutually perpendicular unit vectors and a unit vector vecr satisfying the equation (vecb -vecc)xx(vecr xx veca)+(vecc -veca)xx(vecr xx vecb)+(veca-vecb)xx(vecr xx vecc)=0, then vecr 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

If veca and vecb are mutually perpendicular unit vectors, vecr is a vector satisfying vecr.veca =0, vecr.vecb=1 and (vecr veca vecb)=1 , then vecr is: