Given two vectors $\vec v, \vec u \ne 0$ and $\alpha$ scalar...
97668
Determining an unknown vector from its cross and dot product with known vector
95076
Finding a vector potential for a solenoidal vector field
142229
Prove that if $V \cap \text{Span}\{u_1, u_2,...,u_k\} = \{ 0\} $, then $Au_1, Au_2,...,Au_k$ are linearly independent
19964
What does the dot product of two vectors represent?
123877
Best approximation of a vector $x=\begin{bmatrix}2&2&0&0\end{bmatrix}^\tau$ by the vectors in $M^\perp$, where $b\in M$ is given
146339
Proof of -(-v)=v in a vector space
2743
Dot Product and Cross Product: Solving a set of Simultaneous Vector Equations
27564
Prove that $\|UVU^{-1}V^{-1}-I\|\leq 2\|U-I\|\|V-I\|$
139951
Direct Sum of vector subspaces
43570
Finding two non-zero matrices where $AX = BA$
84334
How to prove the Pythagoras theorem using vectors
127380
Use vectors to prove $\cos(\beta - \alpha) = \cos \alpha \cos\beta + \sin\alpha \sin\beta$
109228
Prove that $v, Tv, T^2v, ... , T^{m-1}v$ is linearly independent
98323
If A is invertible, prove that $\lambda \neq 0$, and $\vec{v}$ is also an eigenvector for $A^{-1}$, what is the corresponding eigenvalue?
93875
"Show" that the direction cosines of a vector satisfies...
46308
Simultaneous diagonlisation of two quadratic forms, one of which is positive definite
58113
Av = Bv for all v implies A = B?