By establishing a spatial rectangular coordinate system, the vector is represented by coordinates. Module length = abscissa square+ordinate square+ordinate square, total root. . . The included angle is the product of the quantity product divided by the module length.

Space vector (x, y, z), where x, y and z are the coordinates on three axes respectively, and the module length is:

Under the root sign (x 2+y 2+z 2).

Where x 2 represents the square of X.

Find the normal vector of the plane:

(1) On the plane, take two vectors that are not * * * lines and express them in coordinates.

② Let the normal vector of this plane be (x, y, z).

(3) Write the coordinate representation of two vectors (ternary equations, two equations) in which the vector managed by (2) is perpendicular to (1).

④ Give any special value of X, Y or Z, bring it into the equation set in ③, and turn it into 2 yuan equation set to solve.

⑤ If the norm a of the normal vector is required, then solve the equation λ | (x, y, z) | = a. 。