Recent content by Neen87

Homework Statement Suppose the river is moving east at 5 km/h and the boat is traveling 45 degrees south of east with respect to earth. Find (a) the speed of the boat with respect to Earth and (b) the speed of the boat with respect to the river if the boat's heading in the water is 60...

Thanks for your response!

Homework Statement I do not have a specific homework problem, but could someone please clarify this for me? QUESTION: When you have an absolute maxima (or minima), how can you tell if it is ALSO a relative maxima (or minima)? I understand how to find absolute extrema on a closed...

hello! I don't know all that much about REM, but here's what I have: Lack of sleep or even shift work (i.e. night shifts) have been shown to disrupt the normal circadian rhythms of a variety of hormones necessary to maintaining homeostasis. For example, thyroid-stimulating hormone...

Homework Statement Show that u, v, w lie in the same plane in R3 if and only if u · (v × w) = 0. Homework Equations The Attempt at a Solution if u · (v × w) = 0, then u is orthogonal to vxw, and vxw is orthogonal to v and w. therefore, u must lie in the same plane...

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Homework Statement Consider the vector equation a × x = b in R3, where a doesn't = 0. Show that: (a) a · b = 0 (b) x = (b × a / ||a||^2) + ka is a solution to the equation, for any scalar k Homework Equations I'm not really sure, but I've been messing with these: 1. u x (v x w)...

Hello! I'm trying to understand how this formula: 1/2 magnitude of v × w (area of triangle) yields the same value no matter which 2 adjacent sides are chosen. How would you prove mathematically that this is the case?