a 3-vector [a b c]T can be either a point in projective space of dimension 2(p2) or a line in P2. What is the relationship between the point m ~ [a b c]T and the line l ~ [a b c]T ?(explain) (Hint: find the distances from the origin to both m and l )
2026-03-25 04:39:05.1774413545
relationship between the point m and line in projective space
53 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail AtRelated Questions in LINEAR-ALGEBRA
- An underdetermined system derived for rotated coordinate system
- How to prove the following equality with matrix norm?
- Alternate basis for a subspace of $\mathcal P_3(\mathbb R)$?
- Why the derivative of $T(\gamma(s))$ is $T$ if this composition is not a linear transformation?
- Why is necessary ask $F$ to be infinite in order to obtain: $ f(v)=0$ for all $ f\in V^* \implies v=0 $
- I don't understand this $\left(\left[T\right]^B_C\right)^{-1}=\left[T^{-1}\right]^C_B$
- Summation in subsets
- $C=AB-BA$. If $CA=AC$, then $C$ is not invertible.
- Basis of span in $R^4$
- Prove if A is regular skew symmetric, I+A is regular (with obstacles)
Related Questions in PROJECTIVE-GEOMETRY
- Visualization of Projective Space
- Show that the asymptotes of an hyperbola are its tangents at infinity points
- Determining the true shape of a section.
- Do projective transforms preserve circle centres?
- why images are related by an affine transformation in following specific case?(background in computer vision required)
- Calculating the polar of a given pole relative to a conic (with NO Calculus)
- Elliptic Curve and Differential Form Determine Weierstrass Equation
- Inequivalent holomorphic atlases
- Conic in projective plane isomorphic to projective line
- Noether normalization lemma
Related Questions in HOMOGENEOUS-SPACES
- How to use homogeneous coordinates and the projective plane to study the intersection of two lines
- coefficients of the sum of roots corresponding to a parabolic subgroup
- Is $O(k)\times O(n-k)$ closed in $SO(n)$?
- Homotopy groups for homogeneous spaces $SU(2n)/Sp(n)$ and $SU(2n)/SO(2n)$
- Real Hyperbolic Plane $\mathbb{RH}^2$ as Homogenous Space
- Cohomology and homology of $SU(N)/SO(N)$
- An example of a homogeneous, non-symmetric space
- Finite measure fundamental domain for a discrete group implies it's a lattice
- Different expressions of $\mathbf{CP}^n$
- Connected locally homogenous space which is not globally homogenous?
Trending Questions
- Induction on the number of equations
- How to convince a math teacher of this simple and obvious fact?
- Find $E[XY|Y+Z=1 ]$
- Refuting the Anti-Cantor Cranks
- What are imaginary numbers?
- Determine the adjoint of $\tilde Q(x)$ for $\tilde Q(x)u:=(Qu)(x)$ where $Q:U→L^2(Ω,ℝ^d$ is a Hilbert-Schmidt operator and $U$ is a Hilbert space
- Why does this innovative method of subtraction from a third grader always work?
- How do we know that the number $1$ is not equal to the number $-1$?
- What are the Implications of having VΩ as a model for a theory?
- Defining a Galois Field based on primitive element versus polynomial?
- Can't find the relationship between two columns of numbers. Please Help
- Is computer science a branch of mathematics?
- Is there a bijection of $\mathbb{R}^n$ with itself such that the forward map is connected but the inverse is not?
- Identification of a quadrilateral as a trapezoid, rectangle, or square
- Generator of inertia group in function field extension
Popular # Hahtags
second-order-logic
numerical-methods
puzzle
logic
probability
number-theory
winding-number
real-analysis
integration
calculus
complex-analysis
sequences-and-series
proof-writing
set-theory
functions
homotopy-theory
elementary-number-theory
ordinary-differential-equations
circles
derivatives
game-theory
definite-integrals
elementary-set-theory
limits
multivariable-calculus
geometry
algebraic-number-theory
proof-verification
partial-derivative
algebra-precalculus
Popular Questions
- What is the integral of 1/x?
- How many squares actually ARE in this picture? Is this a trick question with no right answer?
- Is a matrix multiplied with its transpose something special?
- What is the difference between independent and mutually exclusive events?
- Visually stunning math concepts which are easy to explain
- taylor series of $\ln(1+x)$?
- How to tell if a set of vectors spans a space?
- Calculus question taking derivative to find horizontal tangent line
- How to determine if a function is one-to-one?
- Determine if vectors are linearly independent
- What does it mean to have a determinant equal to zero?
- Is this Batman equation for real?
- How to find perpendicular vector to another vector?
- How to find mean and median from histogram
- How many sides does a circle have?