HSC Extension 2 Mathematics Predictions / Thoughts (1 Viewer)

Xanthi

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Is there actually a way of solving the intersection between 2 spheres using vectors?
 

Xanthi

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Convert to Cartesian and equate to find values of X, Y and Z
Yes but strictly speaking that isn't a vector method.

Also sometimes it gets really ugly?

E.g (x-1)^2+(y)^2+z^2=25
And (x-2)^2 (y+2)^2+(z+1)^2= 36 would be extremely hard to solve
 

Speed’o’sound Sonic

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Yes but strictly speaking that isn't a vector method.

Also sometimes it gets really ugly?

E.g (x-1)^2+(y)^2+z^2=25
And (x-2)^2 (y+2)^2+(z+1)^2= 36 would be extremely hard to solve
Yeah. Sadly ugly just happens sometimes. Not sure how you’d use vectors, however there is a method I would recommend. Finding the ratio of r1 to r1 you can find the perpendicular line that separates the circles in the ratio r1:r2 or something along those lines. Would be a lot easier with working paper 😂
 

AlphaBetaThetaGamma

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how was it? Tip: It really doesnt matter whether u have done 3u or 4u. In uni (if you are doing engineering/science and related) u will have to do 4u plus a whole lot more in the first maths course in first year.
 

Speed’o’sound Sonic

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how was it? Tip: It really doesnt matter whether u have done 3u or 4u. In uni (if you are doing engineering/science and related) u will have to do 4u plus a whole lot more in the first maths course in first year.
Let’s just say it was a lot easier than I was expecting 😂 they were kind to us for COVID I guess. Don’t think I’ll end up doing maths in uni but that’s ok
 

Fabrizio

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Did people get the last question part 2. When i worked out L(n-1) the numerator and denominator were the opposite way around to what you needed so i couldnt show it repeated. Did it 3 times and kept getting the same
 

Speed’o’sound Sonic

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Did people get the last question part 2. When i worked out L(n-1) the numerator and denominator were the opposite way around to what you needed so i couldnt show it repeated. Did it 3 times and kept getting the same
Yeah. All worked out for me. Part 2 was just a repeated multiplication then multiply top and bottom by a long string of numbers to make the denominator work
 

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