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1d
comment Can you find the resultant force between these two vectors?
@iostream007, I get the same answer as your approach with the law of cosines. Just a different method.
1d
revised Can you find the resultant force between these two vectors?
added 7 characters in body; edited body
May
21
comment Can you find the resultant force between these two vectors?
@iostream007, I did not use the triangle law. I realized the vectors in a coordinate system and then added them by component.
May
19
answered Can you find the resultant force between these two vectors?
May
17
comment Can you find the resultant force between these two vectors?
@iostream007, I think your equation should be $|150+ 300\times \cos 110^\circ|$ because the negative will come from $\cos$.
May
17
comment Circular motion trig
No, because the argument to the $\sin$ and $\cos$ functions are $\theta = \dfrac{\pi}{3} - k \cdot 2\pi$ and $\theta = -\dfrac{\pi}{3} - k \cdot 2\pi$ which each only have one value in the interval $[0,2\pi]$.
May
9
comment This is regarding Vector spaces
So the space only has one element $a$?
Apr
30
awarded  Nice Answer
Apr
26
comment 4 dimensional numbers
Is your multiplication table right? By it, both the products $ij$ and $jk$ are anti-symmetric, however the product $ik$ is not. For example, $ik = i$, but $ki=-j$. Is this correct?
Apr
26
comment Max of two vectors - how is this evaluated?
It depends entirely on how you define $\max$. It is perfectly reasonable to define $\max \{\mathbb{v},0\}$ as being vector valued. In that case there is no ambiguity. For example, if $v = [-1, 1]^T$ then $\max \{\mathbb{v},0\} = [0, 1]^T$
Apr
23
comment What is this expression called?
@Nexcius, You could think of $A_{1} * B_{2} - A_{2} * B_{1}$ as the determinant of a matrix or as a wedge product.
Apr
22
comment Intuition why the volume and surface area of the unit sphere eventually decrease
You should see the discussion here: math.stackexchange.com/questions/15656/…
Apr
22
comment Determine all vector subspaces of the real vector space $\mathbb{R}^2$
The 2 dimensional subspace and 0 dimension subspace are trivial. How would you describe the set of 1 dimension subspaces? What would a basis of such a subspace look like?
Apr
22
revised Is the sum of two normal operators normal?
fixed latex
Apr
22
suggested suggested edit on Is the sum of two normal operators normal?
Apr
22
comment Is there a nice way to interpret this matrix equation that comes up in the context of least squares
@crf, Once you reduce the problem to $A\mathbf{x}=\mathbf{y}$, you are breaking with the knowledge that the elements of $A$ come from powers of $x$. The expression of the normal equations basically projects the entire problem onto the column space of $A$. As long as the columns of $A$ are linearly independent, it does not matter where they came from. You are translating the problem from one domain (i.e. curve fitting) to another (linear algebra) to simplify the solution. You should not insist that notions from one domain maintain their meaning in the other.
Apr
19
comment how to i answer this calculus hw problem?
How would you approach the problem with only one sub-interval (i.e. [1,5])?
Apr
19
answered How do I solve this Calculus Work problem?
Apr
13
suggested suggested edit on What is -cos(t) equivalent to in terms of cos(t)
Apr
3
comment Cross Product Intuition
+1: This is a great question!