If a vector `veca` is expressed as the sum of two vectors `vec(alpha)` and `vec(beta)` along and perpendicular to a given vector `vecb` then `vec(beta)` is equal to

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 .

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.

The vector vec b=3j+4k is to be written as the sum of a vector vec b_(1), parallel to vec a=i+j and a vector vec b_(2) ,perpendicular to vec a ,then vec b_(1), equals

If veca is vector perpendicular to both vecb and vec c then

Let vec(alpha),vec(beta) and vec(gamma be the unit vectors such that vec(alpha) and vec(beta) are mutually perpendicular and vec(gamma) is equally inclined to vec(alpha) and vec(beta) at an angle theta . If vec(gamma)=xvec(alpha)+yvec(beta)+z(vec(alpha)xxvec(beta)) , then which one of the folllowing is incorrect?

Let vec(alpha),vec(beta) and vec(gamma be the unit vectors such that vec(alpha) and vec(beta) are mutually perpendicular and vec(gamma) is equally inclined to vec(alpha) and vec(beta) at an angle theta . If vec(gamma)=xvec(alpha)+yvec(beta)+z(vec(alpha)xxvec(beta)) , then which one of the folllowing is incorrect?

If a vector vec(alpha) lies in the plane of vec(beta)andvec(gamma), then