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Advanced Math/Geomaths #4 Q3


Math 4 Q3
Math 4 Q3  
Third of nine questions.
I'm using screen shots to ensure you see what I see.
All answers are integers in the range 0 to 9.
Where required, assume g=9.81

Another question with a serous oversight: these two lines don't intersect.

However, if we assume that they do, they have equations:

L1 = u1 + v1 s
L2 = u2 + v2 t

That gives us v1 and v2 as the directional vectors of the lines, and we know that if θ is the angle between them, v1v2 = |v1| |v2| cos(θ) (see here.

So θ = arccos(v1.v2/|v1||v2|), and you do the computation and get 1.19512...

If they want degrees instead, it's 68.475...

Either way, pick out the first digit (1 or 6, or maybe 8 if the question-writer is using his other definition of "first digit" again).

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Clyde Oliver


I can answer all questions up to, and including, graduate level mathematics. I am more likely to prefer questions beyond the level of calculus. I can answer any questions, from basic elementary number theory like how to prove the first three digits of powers of 2 repeat (they do, with period 100, starting at 8), all the way to advanced mathematics like proving Egorov's theorem or finding phase transitions in random networks.


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