The work done by a force `overlineF = 2 overline i- overline j-overline k` in moving an object from origin to a point whose position vector is `overline r = 3 overline i + 2 overline j - 5 overline k`.

Let overline a be vectors parallel to line of intersection of planes p_1 and p_2 through origin. If p_1 is parallel to the vectors 2overline j + 3 overline k and 4overline j - 3 overline k and p_2 is parallel to overline j - overline k and 3overline i - 3overline j, then the angle between overline a and 2overline i + overline j - 2overlinek is (A) pi/2 (B) pi/4 (C) pi/3 (D) pi/6

overline(AB)-overline(CB)+overline(DA)+2overline(CD)=

If overline(a), overline(b), overline(c) are position vectors of points A, B, C respectively such that 5overline(a)-3overline(b)-2overline(c)=0 , then

If overline(a)=2overline(i) +3 overline(j)-5overline(k),overline(b) =m overline(i)+noverline(j)+12overline(k) and overline(a)xxoverline(b)=overline(0) then (m,n)= .

For three vectors overline(p),overline(q) and overline ( r) , if overline( r) =3 overline(p)+4overline(q) and 2 overline( r) = overline(p) - 3overline(q) then

If overline(a), overline(b), overline(c) are non-coplanar vectors and the points with position vectors 2overline(a)+2overline(b), overline(a)+lambdaoverline(b)+overline(c) and 4overline(a)+4overline(b)-5overline(c) are coplanar, then lambda=

If overline(a), overline(b) and overline(c) are unit coplanar vectors, then [[2overline(a)-overline(b), 2overline(b)-overline(c), 2overline(c)-overline(a)]]=

If overline(a), overline(b), overline(c) are position vectors of points A, B, C respectively such that 3overline(a)+5overline(b)=8overline(c) then A divides BC