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4
questions
-1
votes
2
answers
78
views
Why is a+b+c = a-a+c? [closed]
Why does $a+b+c = a-a+c$? I don't understand. Is it some math property that i didn't know of?
- 3
1
vote
2
answers
43
views
Can the bilinear form of an inner product be extended to both sides?
The bilinear axiom is:
<cu + dv,w> = c<u,w> + d<v,w>
<u,cv + dw> = c<u,v> + d<u,w>
Where c and d are scalars and u, v, and ...
0
votes
4
answers
124
views
If $a$ and $b$ are vectors, such that $\|{a}\| = 7$ and $\|{b}\| = 11$, then find the smallest possible value of $\|{a} + b\|$.
If $a$ and $b$ are vectors, such that $\|{a}\| = 7$ and $\|{b}\| = 11$, then find the smallest possible value of $\|{a} + b\|$.
- 3
3
votes
2
answers
1k
views
Show $ a·b = |a| × |b| \cos(\theta)$ geometrically and by using no algebraic arguments at all
I want to know if there is a more natural way of deriving $ a·b = |a| × |b| \cos(\theta)$ without using algebraic identities and looking at a figure instead. I am familiar with the algebraic method.
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