What does Encyclopedia mean by saying "in a suitably chosen (Cartesian) coordinate system"? Isn't the formula true without referency to any coordinate system?
2026-04-08 20:46:03.1775681163
Inner product and Cartesian coordinate system
98 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail AtRelated Questions in VECTOR-SPACES
- Alternate basis for a subspace of $\mathcal P_3(\mathbb R)$?
- Does curl vector influence the final destination of a particle?
- Closure and Subsets of Normed Vector Spaces
- Dimension of solution space of homogeneous differential equation, proof
- Linear Algebra and Vector spaces
- Is the professor wrong? Simple ODE question
- Finding subspaces with trivial intersection
- verifying V is a vector space
- Proving something is a vector space using pre-defined properties
- Subspace of vector spaces
Related Questions in INNER-PRODUCTS
- Inner Product Same for all Inputs
- How does one define an inner product on the space $V=\mathbb{Q}_p^n$?
- Inner Product Uniqueness
- Is the natural norm on the exterior algebra submultiplicative?
- Norm_1 and dot product
- Is Hilbert space a Normed Space or a Inner Product Space? Or it have to be both at the same time?
- Orthonormal set and linear independence
- Inner product space and orthogonal complement
- Which Matrix is an Inner Product
- Proof Verification: $\left\|v-\frac{v}{\|v\|}\right\|= \min\{\|v-u\|:u\in S\}$
Related Questions in REAL-NUMBERS
- How to prove $\frac 10 \notin \mathbb R $
- Possible Error in Dedekind Construction of Stillwell's Book
- Is the professor wrong? Simple ODE question
- Concept of bounded and well ordered sets
- Why do I need boundedness for a a closed subset of $\mathbb{R}$ to have a maximum?
- Prove using the completeness axiom?
- Does $\mathbb{R}$ have any axioms?
- slowest integrable sequence of function
- cluster points of sub-sequences of sequence $\frac{n}{e}-[\frac{n}{e}]$
- comparing sup and inf of two sets
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?