20. Non-zero vectors A and B are perpendicular to eachother, if vec → → → (a) A. B=0 (b) AxxB = 0

Two vectors vec(a) and vec(b) are perpendicular to each other if vec(a).vec(b)=0 .

If a, b and c are non-zero vectors such that a and b not perpendicular to each other, then the vector r which is perpendicular to a and satisfying r xx b = cxx b is

Let vec a,vec b,vec c be three non-zero vectors such that vec c is a unit vector perpendicular to both vec a and vec b. If the between vec a and vec b is pi/6 prove that [vec avec bvec c]^(2)=(1)/(4)|vec a|^(2)|vec b|^(2)

Number of vectors of unit length perpendicular to the vectors vec(a)= (1, 1,0) and vec(b)= (0, 1,1) is

The cross product of two vectors gives a vector perpendicular to the plane containing the vectors. If vec(a) and vec(b) are non-zero vectors, then vec(a)*(vec(a)xxvec(b))= _________

Solve the following equation for the vector vec p; vec p xx vec a+(vec p. vec b)vec c=vec b xx vec c where vec a ,vec b,vec c are non zero non coplanar vectors and vec a is neither perpendicular to vec b non to vec c hence show that (vec p xx vec a+([vec a vec b vec c])/(vec a*vec c) vec c) is perpendicular vec b-vec c.

The vectors vec(a) and vec(b) are not perpendicular. The vectors vec( c ) and vec(d) are such that vec(b)xx vec( c )=vec(b)xx vec(d) and vec(a).vec(d)=0 then vec(d) = ……………