I just need someone to check if I'm doing this properly. Find a basis for: $span\{(1,1,1),(1,0,1),(0,0,0),(0,1,0)\}$ I formed matrix A using these 4 ...

On a practice final exam for my Discrete Math class, I've been asked to prove that the sum of two positive integers is positive. I've been pulli...

I know that taking the dot product of two vectors, $a$ and $b$ represents the projection of $a$ to $b$, and the resulting scalar is the length of that pro...

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Given the vector u = $<-2, 6, 4>$ and a vector v such that the vector projection of u onto v is $<2,4,4>$, and the vector projection of v onto...

I've been reading Keisler's Calculus book, and there's an example where he does implicit differentiation on the equation: $$x^2+y^2=1$$ whi...

I know the cross product follows the RHR. I know it has to be normal to the plane defined by both vectors, and can prove this. But I can't prove it o...

My textbook gives an example for finding maximal and minimal elements on a set. The set is $(\{2,4,5,10,12,20,25\},|)$. It says to draw a Hasse diagram to...

I'm teaching optimization problems in calculus right now. An easy example would be something like: Find the dimensions of a rectangle with perimeter ...

Before this is marked as a duplicate, I have already went through all similar titled threads and none were helpful for the confusion I'm having, whic...