Show that` P = vec F. vecV`. Where P = power, F = force and`vec v = velocity`.

Show that P= vecF *vecv where P is the power , vecF is the force and vecv is the velocity.

Show that power (P)= vecF*vecV (Where vec V = velocity and vecF = force)

The scalars l and m such that l vec a+m vec b= vec c ,where vec a , vec b and vec c are given vectors, are equal to

Show that ( vec a- vec b)xx( vec a+ vec b)=2( vec axx vec b)dot

Show that the vectors 2 vec a- vec b+3 vec c , vec a+ vec b-2 vec ca n d vec a+ vec b-3 vec c are non-coplanar vectors (where vec a , vec b , vec c are non-coplanar vectors)

Let vec u and vec v be unit vectors such that vec uxx vec v+ vec u= vec w and vec wxx vec u= vec v . Find the value of [ vec u \ vec v \ vec w] .

Show that the vector vec(a) is perpendicular to the vector vec(b) - (vec(a).vec(b))/(|vec(a)|^(2))vec(a)

Show that | vec a| vec b+| vec b| vec a is a perpendicular to | vec a| vec b-| vec b| vec a , for any two non-zero vectors vec aa n d vec bdot

If vec p , vec q , vec r denote vector vec bxx vec c , vec cxx vec a , vec axx vec b , respectively, show that vec a is parallel to vec qxx vec r , vec b is parallel vec rxx vec p , vec c is parallel to vec pxx vec q .

In a quadrilateral P Q R S , vec P Q= vec a , vec Q R = vec b , vec S P= vec a- vec b ,M is the midpoint of vec Q Ra n dX is a point on S M such that S X=4/5S Mdot Prove that P ,Xa n dR are collinear.