Question 1

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Dels vectors u with rightwards arrow on top space i space v with rightwards arrow on top sabem que compleixen u with rightwards arrow on top plus v with rightwards arrow on top equals a with rightwards arrow on top comma space space space 2 u with rightwards arrow on top minus 3 v with rightwards arrow on top equals b with rightwards arrow on top, quan a with rightwards arrow on top equals open square brackets 3 comma negative 2 comma negative 3 close square brackets i b with rightwards arrow on top equals open square brackets 16 comma negative 19 comma 19 close square brackets.
Troba l'angle beta format per u with rightwards arrow on top space i space v with rightwards arrow on top  
beta equalsº (l'angle amb 3 decimals)

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