- #1
XSK
- 7
- 0
Homework Statement
the question i have is about part b).
by 'a solution' does it mean what x equals?
as in show that x = -(a x b)/|a|^2 is a solution?
Quick Question About Wording: Solving for x in the Homework Statement
- Thread starter XSK
- Start date
the question i have is about part b).
by 'a solution' does it mean what x equals?
as in show that x = -(a x b)/|a|^2 is a solution?
- #2
Alex6200
- 75
- 0
Well for part A if b is the cross product of a and x, then b is perpendicular to a and x, which would mean that its angle with a is 90. Since the dot product of a and b is equivalent to |a||b|cos(\vartheta), and since cos(90) = 0: the dot product must be 0.
Yes, I think for part B it's saying that that expression is the value of X.
Yes, I think for part B it's saying that that expression is the value of X.
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
Hello,
This is the attachment, the steps to solution are pretty clear. I guess there is a mistake on the highlighted part that prompts this thread.
Ought to be ##3^{n+1} (n+2)-6## and not ##3^n(n+2)-6##. Unless i missed something, on another note, i find the first method (induction) better than second one (method of differences).
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