Given are the following planes: plane 1: 3x - 4y+z=1 plane 2: (s, t) = (G)-0)-0). + 8+ t a) Find for both planes the Hessian normal form and for plane 1 in addition the parameter form. b) Use the cross product of the two normal vectors to show that the planes intersect in a line. c) Calculate the intersection line. d) Calculate the intersection angle of the planes. Make a sketch to indicate which angle you are calculating.

Q: Line L has the equation (2,-2,0) + t (2,2,2) Sphere S is centered at origin (O) with equation…

A: Given that: The equation of line L is L:r=(2,-2,0)+t(2,2,2). Sphere S is centered at origin (O) with…

Q: Consider the planes given by the equations x + 2y – 2z = 1, 4x – y + 2z = 7. | (a) Find a vector i…

A: Given the equation of planes, x+2y-2z=14x-y+2z=7

Q: A plane in R³ contains the point (-r, 0, 1) and has the vector (1,4,3r) as a normal, where r is a…

A: Explained above in detail.

Q: 5. Two lines have equations: L₁: x = 3t + 1, y = 3, z = −t + 2, teR and L₂: x = 2s +3, y = −s + 1, z…

A:

Q: i am so confused i dont understand please help thank you

A: Step 1: Step 2: Step 3: Step 4:

Q: The equation of a plane n ·〈x, y,z〉= d is said to be in normal form if n is a unit vector. Show that…

A: Given :           The equation of a plane n . <x, y, z> = d is said to be in normal form if n…

Q: B = i- SK, f C=-15i+3j-3K. let Ā = si-j+k which pairs of vectors ave @ perpendicular.? O parallel. ?…

A: