where's quiz 4?
Sorry to say, but a lot of these problems have values switched:
e^(1/4) within 10^(-3) is not the same as e^(1/3) within 10^(-4)
There were several versions of several quizes. I've only posted one version of each. - Tom Morley
Could someone explain how to do problems 2 and 3 on Quiz 3 without all that maple/mathmatica stuff?
3. i sjust plugging into a formula. Its in the book somewhere.
2. There are 500 ways to do 2. If P Q and R are the points,
we look for a vector n = {a,b,c} such that n dot (p-q)
and n dot (r-q) are zero. This is a system of linear equations.
A non zero solution will be a normal to the plane. If P = {x1,y1,z1},
then the equation of the plane is n dot {x-x1,y-y1,z-z1} = 0.
okay on problem 2 how is t=1? I started out with {1,2,3} + s{1,-5,-5}+{t{4,1,-2}= {x,y,z} and so
x= 1+s+4t
y= 2-5s+t
z=3-5s-2s
So where do you go from there? Because it's seems impossible to solve for s and t.
a lot of the answers are incorrect in quiz 1... watch out for morleys mistakes
I never do it that way.
what is to formula to solving question 3 in quiz 3?
Reflection about a line. It's in the book.
Which book? I looked in the linear algebra book and didn't find it. Could you give me a section or a page number?
I think its actually in the solutions.
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