The vector `p = (a*c) b-(a *b)c` is be perpendicular to

The vector (bar(a)xxbar(b))xxbar(c) is perpendicular to

Let a and b be two unit vectors. If the vectors c = a + 2b and d = 5a - 4b are perpendicular to each other, then the angle between a and b is

If a vector vec a is perpendicular to two non- collinear vector vec b and vec c ,then vec a is perpendicular to every vector in the plane of vec b and vec c.

If a vector vec a is perpendicular to two non-collinear vector vec b and vec c , then vec a is perpendicular to every vector in the plane of vec b and vec c .

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.

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 the unit vectors a and b be perpendicular and the unit vector c be inclined at an angle theta to both a and b . If c=alpha a+beta b+gamma(axxb) , then

Let vec a,vec b, and vec c are vectors such that |vec a|=3,|vec b|=4 and |vec c|=5, and (vec a+vec b) is perpendicular to vec c,(vec b+vec c) is perpendicular to vec a and (vec c+vec a) is perpendicular to vec b. Then find the value of |vec a+vec b+vec c|

If a vector vec a is perpendicular to two non coplasnar vectors vec b and vec c ,then vec a is perpendicular to every vector in the plane of vec b and vec .