exam Maths Puzzle Numerical Ability

Prove: For any vectors u, v, and w, the vectors u-v, v-w, and w-u form a linearly dependent set.

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exam Other Question

There are 4 parts to the following function:
f(x)= 3+x if -3&#8804;x<0
3 if x=0
&#8730;x if x>0

A)find the domain of each function
B) Locate the intercepts
C
The sides of a triangle are in the ration 5 : 12 : 13. What is the length of each side of the triangle if the perimeter of the triangle is 15 in.?