Use the component form to generate an equation for the plane through P1(4, 1, 5) normal to n1 = i - 2j + k. Then generate another equation for the same plane using the point P2(3, -2, 0) and the normal vector n2 =-sqrt(2)i + 2sqrt(2)j - sqrt(2)k.
Use the component form to generate an equation for the plane through P1(4, 1, 5) normal to n1 = i - 2j + k. Then generate another equation for the same plane using the point P2(3, -2, 0) and the normal vector n2 =-sqrt(2)i + 2sqrt(2)j - sqrt(2)k.
Want to see the full answer?
Check out a sample Q&A here
Related Calculus Q&A
Q: Use the component form to generate an equation for the plane through P1(4, 1, 5) normal to n1 = i -…
A: Concept - If a plane is passing through (x0, y0, z0) and normal vector is A, B, C.Then equation of…
Q: Find the vector equation for the line of intersection of the planes 5x +y-3z= -3 and 5x + z = -1 r =…
A: Click to see the answer
Q: Find the equation of the plane passing through the point (2,−1, 3) and normal to the vector N = (2,…
A: we know that equation of plane which passes through point x1,y1,z1 and normal to vector a,b,c is…
Q: Find the equation for the plane through the point Po = (5,4,6) and normal to the vector n= 2i + 3j +…
A: Click to see the answer
Q: Find an equation of the plane. The plane through the point (4, 0, -5) and perpendicular to the…
A: Click to see the answer
Q: Find the general equation of the plane which goes through the point (3,1,0) and is perpendicular to…
A: Click to see the answer
Q: Find an equation of the plane that passes through the point (3, 2, 2) and is perpendicular to the…
A: equation of the plane passing through the points (3, 2, 2) A(x-3)+B(y-2)+C(z-2) = 0…
Q: Write the vector equation for the line of intersection between the planes π1:x−z=−5 and π2:x−y=−1.
A: Click to see the answer
Q: Determine an equation for the plane that passes through the point (1, 2, –3) and is parallel to the…
A: Click to see the answer
Q: Find an equation of the plane through the point (29,-37,46) and with normal vector 14i+19j–17k.
A: we have to find an equation of the plane passing through the point (29,-37,46) and with normal…
Q: Find the equation of the plane that contains the point (4, – 1, 3) and is perpendicular to the…
A: Click to see the answer
Q: Find the vector equation for the line of intersection of the planes 5x + 4y + 5z = 1 and 5z + z = -4…
A: Click to see the answer
Q: Find the linear equation of the plane through the point (-3, 4, 3) and perpendicular to the line…
A: Click to see the answer
Q: Find an equation of the plane through the point (2,1,-3) with normal vector 2i-3j+k. Determine the…
A: Click to see the answer
Q: Find an equation of the plane through the point (2,1,-3) with normal vector 2i-3j+k. Determine the…
A: Click to see the answer
Q: Find an equation of the plane through the point (2,1,-3) with normal vector 2i-3j+k. Determine the…
A: Click to see the answer
Q: Find the equation of a plane that is perpendicular to the vector 3 i - 4j+ 5k and passing through…
A: Click to see the answer
Q: Find the vector equation of the line of intersection of the planes x+y+z=1 and x+2y+2z=1.
A: Click to see the answer
Q: Find the vector equation of the line of intersection of the planes x+y+z = 1 and x+2y + 2z = 1.
A: The equation of the line vector of the intersection of 2 planes can be calculated using the cross…
Q: Find the equation for the plane through the point Po = (2,3,8) and normal to the vector n= 3i + 8j +…
A: Click to see the answer
Q: Find the linear equation of the plane through the point(1,2,3) and contains the line represented by…
A: Click to see the answer
Q: Find the equation of the plane perpendicular to the x-axis and passing through the point (3,-3,2)…
A: Click to see the answer
Q: Find the equation of the plane that contains point P1(1,0,3) and orthogonal to line L1: (5t – 1,3 –…
A: If normal vector is <a, b, c> Then equation of plane perpendicular to line with normal vector…
Q: Find the equation of the plane that contains point P1(1,0,3) and orthogonal to line L1:(5t – 1,3 –…
A: Consider the line L1given by the vector form: L1:5t-1, 3-2t, t :-1+5t, 3-2t, 0+t :-1, 3, 0+5t,…
Q: Find the vector equation for the line of intersection of the planes x + 4y + z = -5 and x + 4z = 0…
A: Here we have to find the vector equation for the line of intersection of the planes x+4y+z = -5 and…
Q: Find an equation for the plane through the point (3, 4, −4) and parallel to the plane defined by 4x…
A: Click to see the answer
Q: Find the cartesian equation of the plane that is normal to the vector n = -3i – 4j+ 4k and includes…
A: Given that the normal vector is n=-3i-4j+4k So the direction ratio of the normal vector to the…
Q: Find the cartesian equation of the plane that is normal to the vector n = -3i – 4j+ 4k and includes…
A: Click to see the answer
Q: Find the cartesian equation of the plane that is normal to the vector n = -3i – 4j+4k and includes…
A: n=-3i-4j+4k and P(2,-7,5)
Q: Find the cartesian equation of the plane that is normal to the vector n = -3i – 4j+4k and includes…
A: Formula: The cartesian equation of plane that is normal to the vector n=ai+bj+ck and passing through…
Q: Find the vector equation of the plane taking into account that 4x - y - z = 3
A: Click to see the answer
Q: Is the vector i = (-1,-2,3) perpendicular to the plane 3x + 6y – 9z + 5 =
A: Click to see the answer
Q: Find the general form of the equation of the plane passing through the point and normal to the…
A: Click to see the answer
Q: Write the equation for the plane. The plane through the point P(3, - 4,5) and normal to n= (5,5,5) O…
A: Click to see the answer
Q: Find the equation of the XZ plane.
A: Since you have asked multiple questions in a single request we would be answering only the first…
Q: Write the equation of the plane that is parallel to the xy-plane and passing through the point…
A: Click to see the answer
Q: Find the equation of the plane for a plane through the point (2, −8, −3) and parallel to the plane…
A: Equation of plane through point (x1, y1 , z1) and parallel to plane ax +by+cz+d = 0 is given as…
Q: Find an equation of the plane. the plane through the point (5, 6, 5) and with normal vector 6i + 8j…
A: As we know that the equation of the plane which is passing through a point Px0,y0,z0 and normal…
Q: Find an equation for the plane that passes through the point (3, -2, 1) normal to the vector n = 2i…
A: Equation of plane passing through point (x0,y0,z0) and normal to <A,B,C> is A(x - x0) + B(y…
Q: Find an equation for the plane that passes through the point (3, -2, 1) normal to the vector n =2i +…
A: Click to see the answer
Q: Find an equation for the plane that passes through the point (3, -2, 1) normal to the vector n = 2i…
A: Given:A point (3, -2, 1) normal to the vector n = 2i + j + kThe normal vector can be written as,
Q: Find the equation of the plane through the point P= (3, 2, 5) and parallel to the plane a+3y+ 3z =…
A: Click to see the answer
Q: Find the volurne of the parallelepiped determined by the vectors a, b, and c. a = (6, 3, -2), b =…
A: Click to see the answer
Q: Find a position vector that is parallel to the line x = 2 + 4t, y = 5 - 8t, z = 9t.
A: The equation of the line is: x = 2 + 4t y = 5 - 8t z = 9t From the given equation of the line we…
Q: Find an equation of the plane. The plane through the point (8, −3, −3) and parallel to the plane…
A: We know that two parallel planes have same direction ratios(i.e. the coefficients of x,y and z…
Q: Find an equation of the plane. The plane that passes through (6, 0, −2) and contains the line x…
A: Click to see the answer
Q: The plane contains the point (−2, 3, −1) and is normal to the vector 3i − 2j.
A: Given: point -2,3,-1 and vector 3i-2j
Q: Find an equation of the plane. The plane that passes through the line of intersection of the planes…
A: Click to see the answer
Q: Find the linear equation of the plane through the point (2, −2, 6) and with normal vector j+2k.
A: Explanation of the solution is given below...
Q: Find the general equation of the plane that contains the point (2,0, 3) and the line r -1+t, y =t, z…
A: Click to see the answer
