Point-to-point distance formula: Let the coordinates of two points be A(x 1, y 1)B(x2, y2)AB= under the root sign ((x 1-x2) 2+(y 1-y2) 2).

Distance formula from point to straight line:

Point P(x0, y0), straight line Ax+By+C=0.

The distance from p to the straight line is: Ax0+By0+C|/√(A? +B？ )

Distance from point to surface:

Opposite ax+by+cz+d=0.

And points (x, y, z)

Distance from point to surface =|aX+bY+cZ+d|/ (under the root sign (A 2+B 2+C 2))

Distance of parallel lines:

l 1:ax+by+c 1=0

l2:ax+by+c2=0

The distance is: the absolute value of (c 1-c2) divided by the root sign (the square of a plus the square of b).

Only when two planes are parallel can there be a saying of distance.

Let two planes be a1x+b1y+c1z+d1= 0, a2x+b2y+c2z+D2 = 0,

Take any point p on the plane 1, take any two coordinate values to get the third coordinate value, and use the formula of point-surface distance to get the distance between the two planes.

Let two planes be a1x+b1y+c1z+d1= 0, A2X+B2Y+C2Z+D2 = 0, and the included angle between the two planes is φ.

cosφ=(a 1a2+b 1b2+c 1c2)/√(a 1^2+b 1^2+c 1^2)√(a2^2+b2^2+c2^2).

The concept of distance only exists when the line is parallel to the line and not in the plane. The formula is too complicated to write. It is suggested to use space cosine theorem and vector to do it.