Recent content by nicknaq

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    Undergrad What is the best frame of reference?

    So I was studying some physics, and I keep encountering how many things depend on the frame of reference. For example, kinetic energy and momentum. My question is if there is an absolute frame of reference? Can we define one? I remember reading somewhere that the absolute reference...
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    Soccer 'Heading': Calculating Impulse of a Ball

    Homework Statement Recent studies have raised concern about `heading' in youth soccer (i.e., hitting the ball with the head). A soccer player `heads' a size 4 ball, deflecting it by 38.0 deg, but keeping its speed of 19.60 m/s constant. A size 4 ball has a mass of approximately 0.302 kg. What...
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    How Do Reflections and Subspaces Challenge Linear Algebra Understanding?

    I GOT EVERYTHING EXCEPT FOR 2B and the last part of 3b (sliding it over) can someone help?? (maybe number 4 too as I'm not sure if I'm right)
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    How Do Reflections and Subspaces Challenge Linear Algebra Understanding?

    Thanks Outlined. If anyone else has any input that would be greatly appreciated!
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    Help me Understand Closed Under Addition and Closed Under Multiplication

    Help me Understand "Closed Under Addition" and "Closed Under Multiplication" Linear Algebra...matrices...etc Examples would be great. Thanks.
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    T1°T2 is a counterclockwise rotation about the origin by an angle of____rad

    Let T1 be the reflection about the line 2x−3y=0 and T2 be the reflection about the line 2x+5y=0 in the euclidean plane. - first I was asked to find the T1°T2 matrix. I did that. - now I need to find the counterclockwise rotation about the origin of T1°T2 I should use...
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    Determine if the Given Vectors Span R4

    I have the answer, but it makes no sense to me. Can someone explain it? QUESTION: Determine if the vector { [1 3 -1 0]^T, [-2 1 0 0]^T, [0 2 1 -1]^T, [3 6 -3 -2]^T } spans R^4 ANSWER: The vectors span R^4. One way to see this is to observe that the matrix A with these vectors as...
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    How Do Reflections and Subspaces Challenge Linear Algebra Understanding?

    Why? And how? Do I simply multiply (1,0) by the matrix given (i.e. cosΘ, sinΘ, sinΘ, -cosΘ)? If so, where does that get me? I'll have a matrix with Θ terms in it. I'll work on this after I get (a) The three rules are: 1. It must go through the orgin 2. closed under additon 3. closed under...
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    How Do Reflections and Subspaces Challenge Linear Algebra Understanding?

    :smile: Hey everyone! I'd love if you could help me on these couple problems. Homework Statement I have attatched a PDF file (don't worry, it will only take you an instant to download - it's just a single page). I'm having problems with numbers 2 and 4. Number two is about reflections about...
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    Find the distance between the two lines (linear algebra)

    well.. projv(w) would mean the projection of w on v. For example. d is direction vector n is normal ...anything else you need to know?
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    Find the distance between the two lines (linear algebra)

    So if I want to stay away from calc, is the best way to prove distance=0 by simply showing the projection is zero?
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    Find the distance between the two lines (linear algebra)

    Does that involve calculus? If so, it's really not necessary.
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    Find the distance between the two lines (linear algebra)

    Would it entail that the lines are orthogonal? For example, the projection of x=0 on y=0 would be zero since y=0 has no component in the direction of x=0. If that makes sense?