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 ]

Show that the area of the triangle whose two adjacent sides are determined by the vectors veca=3hati+4hatj, vecb=-5hati+7hatj is 20 1/2 square units.

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 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 veca,vecb,vecc be three vectors such that |veca|=|vecb|=|vecc|=4 and angle between veca and vecb is pi/3 angle between vecb and vecc is pi/3 and angle between vecc and veca is pi/3 . The volume of the tetrhedron whose adjacent edges are represented by the vectors veca,vecb and vecc is (A) (4sqrt(3))/2 (B) (8sqrt(2))/3 (C) 16/sqrt(3) (D) (16sqrt(2))/3

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]=

If vecu,vecv and vecw are vectors such that vecu+vecv+vecw=vec0 then [vecu+vecv vecv+vecw vecw+vecu])= (A) 1 (B) [vecu vecv vecw] (C) 0 (D) -1

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 + 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 + vecw .vecu is