this question is from a linear algebra course: Given the plane V with the equation n · x = b, where n ≠ 0 is a normal vector of V. Let p be a point in space. Prove that the distance from p to V is given by the equation in the attached image
this question is from a linear algebra course: Given the plane V with the equation n · x = b, where n ≠ 0 is a normal vector of V. Let p be a point in space. Prove that the distance from p to V is given by the equation in the attached image
this question is from a linear algebra course: Given the plane V with the equation n · x = b, where n ≠ 0 is a normal vector of V. Let p be a point in space. Prove that the distance from p to V is given by the equation in the attached image
this question is from a linear algebra course: Given the plane V with the equation n · x = b, where n ≠ 0 is a normal vector of V. Let p be a point in space. Prove that the distance from p to V is given by the equation in the attached image:
Transcribed Image Text:n.p - b
|n|
Branch of mathematics concerned with mathematical structures that are closed under operations like addition and scalar multiplication. It is the study of linear combinations, vector spaces, lines and planes, and some mappings that are used to perform linear transformations. Linear algebra also includes vectors, matrices, and linear functions. It has many applications from mathematical physics to modern algebra and coding theory.
