Final answer:
The magnitude or length of vector 'p' = (4, 5) is calculated as |p| = sqrt(4^2 + 5^2) = sqrt(41). The magnitude is found using the formula sqrt(p1^2 + p2^2 + ... + pn^2), where p[i] are the components of the vector.
Step-by-step explanation:
The given vector is p = (4, 5). The magnitude or length of a vector p=[p1, p2,...,pn] can be found using the formula \|p| = sqrt(p1^2 + p2^2 + ... + pn^2) \, where sqrt denotes the square root function and the exponent 2 indicates a square operation. Plugging the values of our vector components into the formula, we obtain |p| = sqrt(4^2 + 5^2) = sqrt(16 + 25) = sqrt(41).
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