Proof in vector analysis
119407
Solution of Vector equation
994
Linear independence of vectors that form non-square matrix
9003
prove $\frac{1}{2}\mathbf{\nabla (u \cdot u) = u \times (\nabla \times u ) + (u \cdot \nabla)u}$ using index notation
105367
Proving $||\vec{a}+\vec{b}|| = ||\vec{a}-\vec{b}|| \iff \vec{a} \perp \vec{b}$
123418
Laws of addition of Vectors
66283
Let V be a vector space. If every subspace of V is T-invariant, prove that there exist a scalar multiple c such that T=c1v
83970
Proof of an elementary property of Projection Operators
88956
For any three vectors $x,y,z\in\mathbb{R}^d$, we have $ \|y-z\|\cdot\|x\|\leq\|x-y\|\cdot\|z\|+\|z-x\|\cdot\|y\|$
139951
Direct Sum of vector subspaces
127380
Use vectors to prove $\cos(\beta - \alpha) = \cos \alpha \cos\beta + \sin\alpha \sin\beta$
5347
Using the definition of a vector space to prove that $0x = 0$ and $(-1)x = -x$
37119
Determine Which of the following Sets is a Vector Space
130278
Vector Applications in Euclidean Geometry
88728
Dimensions of vector subspaces in a direct sum are additive
35337
Problem in notation: $(\vec{v}\cdot\vec{\nabla})\vec{v}$ versus $L_v(\vec{v})$
35013
Demonstration: If all vectors of $V$ are eigenvectors of $T$, then there is one $\lambda$ such that $T(v) = \lambda v$ for all $v \in V$.
15088
Proof that tangent space is a vector space?