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(i) State the associative and commutativ...

(i) State the associative and commutative laws of vector addition.
(ii) For two given vectors `A=hat I + 2 hat j -3hat k , overset(rarr)B=2 hati -hat j + 3 hatk` find the vector sum of `overset(rarr)A` and `overset(rarr)B` also find the magnitude of `(overset(rarr)A+overset(rarr)B)`

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### Step-by-Step Solution **(i) Associative and Commutative Laws of Vector Addition:** 1. **Associative Law:** The associative law states that when adding three or more vectors, the way in which the vectors are grouped does not affect the sum. Mathematically, if **A**, **B**, and **C** are vectors, then: \[ (\mathbf{A} + \mathbf{B}) + \mathbf{C} = \mathbf{A} + (\mathbf{B} + \mathbf{C}) ...
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