Comments on: Vectors http://www.squarecirclez.com/blog/vectors/1083 Mathematics, learning, computing, travel - and whatever... Sat, 20 Mar 2010 05:58:39 +0000 http://wordpress.org/?v=abc hourly 1 By: zac http://www.squarecirclez.com/blog/vectors/1083/comment-page-1#comment-25241 zac Sun, 11 May 2008 09:19:28 +0000 http://www.squarecirclez.com/blog/?p=1083#comment-25241 Hi Li-sa Thanks for the typo correction - fixed. I have added a <a href="http://www.intmath.com/Vectors/5_Dot-product-vectors-2-dimensions.php#alternativedotproduct" rel="nofollow">proof of the alternative dot product</a> and I will generalise it more later. I'll keep your dot and cross product requests in mind when I add further examples and explanations - soon! Hi Li-sa

Thanks for the typo correction – fixed.

I have added a proof of the alternative dot product and I will generalise it more later.

I’ll keep your dot and cross product requests in mind when I add further examples and explanations – soon!

]]> By: Li-sa http://www.squarecirclez.com/blog/vectors/1083/comment-page-1#comment-25229 Li-sa Sun, 11 May 2008 07:54:29 +0000 http://www.squarecirclez.com/blog/?p=1083#comment-25229 Small mistake made in "Vector Calculus": In the second example involving 3D vectors, at the specific time t = 4 s, the rate of change of the vector will be not 5 i + 3 j + 8 k m/s^3 but 5 i + 2 j + 8 k m/s^3 as the y-component is a constant 2. How is the alternative form of the dot product derived? How do the dot and cross products work, like the dot product in calculating work done (Work=F s cos A)? Could you please show us why these formulas are so odd? Small mistake made in “Vector Calculus”:
In the second example involving 3D vectors, at the specific time t = 4 s, the rate of change of the vector will be
not 5 i + 3 j + 8 k m/s^3
but 5 i + 2 j + 8 k m/s^3 as the y-component is a constant 2.

How is the alternative form of the dot product derived?

How do the dot and cross products work, like the dot product in calculating work done (Work=F s cos A)? Could you please show us why these formulas are so odd?

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