(a) In unit -vector notation, what is the sum `veca + vecb if veca = (4.0 cm) hati + (3.0) hatj and vecb = (-13.0 m ) hati + (7.0 m) hatj` ? What are the (b) magnitude and (c ) direction of `veca + vecb` ?

Explanation

To solve the problem step by step, we will follow the instructions provided in the question.

### Step 1: Write down the vectors
We have two vectors given:
- \(\vec{a} = (4.0 \, \text{cm}) \hat{i} + (3.0 \, \text{cm}) \hat{j}\)
- \(\vec{b} = (-13.0 \, \text{m}) \hat{i} + (7.0 \, \text{m}) \hat{j}\)

### Step 2: Convert units if necessary
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