The plane equation of the line x + y + Z-1 = 0,2x-y + 3Z = 0 and parallel to the line x = 2Y = 3Z is solved

First, find the standard form of the line. The tangent direction of the line passing through the point (0,3 / 4,1 / 4) is (1,1,1) × (2, - 1,3) = (4, - 1, - 3). The line can be written as the normal vector of X / 4 = (Y-3 / 4) / (- 1) = (Z-1 / 4) / (- 3) plane = (4, - 1, - 3) × (6,3,2) = (7, - 26,18). Let the plane square be 7x-26y + 18z + D = 0, and the plane pass through (0,3 / 4,1 / 4)

RELATED INFORMATIONS

1. The linear equation passing through point (1, - 1, - 2) and perpendicular to plane 2x-2y + 3Z = 0
2. Find the plane equation which passes through point (1, - 1,1) and is perpendicular to two planes X-Y + Z = 1, 2x + y + Z + 1 = 0?
3. It is known that 4x-3y-3z = x-3y + Z = 0 (x, y, Z are not equal to 0) (1) Find X: Y: Z (2) find the value of 2x + 3y-4z / Z
4. The equation of the line passing through the point M0 (2, - 1,0) and perpendicular to the plane: x-2y + 3Z = 0 is
5. Solve the plane equation which passes through the point (1,1,0) and is parallel to the plane x + 2Y + 3Z + 4 = 0
6. The plane π passes through the point M0 (1,1,1) and is parallel to the known plane x + 2Y + 3Z = 0
7. 1. Find the vertical equation of plane x + 2Y + 3Z + 4 = 0 passing through point (1,1,1). 2. Let the square matrix a satisfy a * a-a-e = 0, prove that a is invertible, and find a ^ - 1
8. A linear equation passing through point P (2, - 4,5) and perpendicular to plane x-2y + 3z-4 = 0
9. Tangent plane equation with curve z = x ^ 2 + y ^ 2 parallel to plane 2x + 4y-z = 0
10. Finding tangent plane equation of curve z = x ^ 2-y ^ 2 parallel to plane 2x + 4y-z = 0
11. The linear equation passing through point (1, - 1, - 2) and perpendicular to plane 2x-2y + 3Z = 0
12. Find the plane equation that passes through the Y axis and is perpendicular to the plane 5x + 3y-2z + 3 = 0
13. Find the plane equation passing through X axis and perpendicular to 5x + y-2z + 3 = 0?
14. If 4 / x = 8 / y, X is proportional to y, if 4x = 8y (x, y are not 0), X is proportional to y
15. 1. When the polynomial x ^ 2 + 6x + y ^ 2-8y + 30 has a minimum value, x =? Y =? 2. If x ^ 2 + 2x-1 = 0, then 5x ^ 2 + 10x-3 =?
16. If y = 5x, then y is proportional to X______ (judge right or wrong)
17. : if y = 5x, then x and y are () proportional; if x = Y / 5, then x and y are () proportional
18. Why is 5x = 8y (x ≠ 0), then y and X are proportional? I don't know how it's proportional,
19. Given that 5x + 8y = 0 and X ≠ 0, find the ratio of X and y
20. Because 5x = 8y, so x: y = 8:5 () right or wrong?