Give the standard form for the equation for the plane P through point P = (1,...

       

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Give the standard form for the equation for the plane P through point P = (1, -5, -5) with normal vector n = 24 -6. Use variables x, y, and z. -24 Standard form for plane P: Find the equation of the plane through the point (2, 4, 3) that is perpendicular to the line. x(t) = (2i + 2j + 2k) + t(i + 5j - 2k). Write the equation in the form indicated. Equation: 9x+ - 3+2 y+ x = Find a normal vector n to the plane z 4(x7) = 8(7 y) n - =(0.0.0) Find an equation of the plane P in standard form through P (5, -2, 2) that is parallel to the plane with equation 6x + 26y - 37z = -109. Standard form for plane P: Find the vector and parametric equations for the line through the point P(4, 1, 1) and orthogonal to the plane 2x 5y3z = -4. - Vector Form: x(t) = (0,1)+t(- Parametric form (parameter t, and passing through P when t = 0): x = x(t) = y = y(t) z = z(t) = Find a unit vector with positive first coordinate that is orthogonal to the plane through the points P = (-3,-4,-4), Q = (-2, -3, -3), and R=(-2,-3,0). Answer: Find the standard form equation (using variables x, y, z) of the plane P through the points P(-6,7,-2), Q(6, 5, 9) and R(4, -8, -3). Standard form for plane P : Give the standard form for the equation for the plane P through point P = (1, -5, -5) with normal vector n = 24 -6. Use variables x, y, and z. -24 Standard form for plane P: Find the equation of the plane through the point (2, 4, 3) that is perpendicular to the line. x(t) = (2i + 2j + 2k) + t(i + 5j - 2k). Write the equation in the form indicated. Equation: 9x+ - 3+2 y+ x = Find a normal vector n to the plane z 4(x7) = 8(7 y) n - =(0.0.0) Find an equation of the plane P in standard form through P (5, -2, 2) that is parallel to the plane with equation 6x + 26y - 37z = -109. Standard form for plane P: Find the vector and parametric equations for the line through the point P(4, 1, 1) and orthogonal to the plane 2x 5y3z = -4. - Vector Form: x(t) = (0,1)+t(- Parametric form (parameter t, and passing through P when t = 0): x = x(t) = y = y(t) z = z(t) = Find a unit vector with positive first coordinate that is orthogonal to the plane through the points P = (-3,-4,-4), Q = (-2, -3, -3), and R=(-2,-3,0). Answer: Find the standard form equation (using variables x, y, z) of the plane P through the points P(-6,7,-2), Q(6, 5, 9) and R(4, -8, -3). Standard form for plane P :