Consider two vectors `vecp _(1) = 4 hati - 3 hatj + 5 hatk and vecp _(2) =- 6 hati + 3 hatj - 2 hatk .` What is `(vecp _(1) + vecp _(2)) . (vecp _(1) xx 5 vec p _(2))` ?

Explanation

To solve the given problem, we need to calculate the expression \((\vec{p_1} + \vec{p_2}) \cdot (\vec{p_1} \times 5\vec{p_2})\). Let's break this down step by step.

### Step 1: Define the vectors
We have:
\[ \vec{p_1} = 4 \hat{i} - 3 \hat{j} + 5 \hat{k} \]
\[
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