# Thread: Vector problem (just look at the link and skip my explanation)

1. ## Vector problem (just look at the link and skip my explanation)

Vector question:
Find an example disproving that II(any real #)XII (as in the length of any vector X where length and height are multiplied by any real number) is equal to (any real #)IIXII (as in any real number multiplied by the overal length of the vector X).

For example the vector <3,4> has a length of 5 multiplied by the real number 2 is = 10. And the vector <6,8> (as in the previous vector multiplied by 2) has a length of 10 also. But I need an example where that is not true.

here is a link to the questions it is # 13

http://maven.smith.edu/~callahan/vectors.pdf

thanks a lot

2. Focus on $\displaystyle \lambda$. You want to look for a $\displaystyle \lambda$ that will make equality fail. Use your example vector <3, 4> and try different real numbers for $\displaystyle \lambda$, computing separately each side of the equality you want to break. If you use a decent variety of $\displaystyle \lambda$'s, you should quickly come across the example you want (there's a lot of 'em).