If `vecd _(1) + vecd _(2) = 5 vecd _(3), d _(1) - d _(2) = 3d _(3), and vecd _(3) = 2 hati + 4 hatj,` then what are , in unit-vector notation,(a) `vecd _(1) and (b) vecd _(2)` ?

Explanation

To solve the problem, we will follow these steps:

### Given:
1. \(\vec{d_1} + \vec{d_2} = 5 \vec{d_3}\) (Equation 1)
2. \(\vec{d_1} - \vec{d_2} = 3 \vec{d_3}\) (Equation 2)
3. \(\vec{d_3} = 2 \hat{i} + 4 \hat{j}\)

### Step 1: Substitute \(\vec{d_3}\) into Equations 1 and 2
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