Multiplication of a scalar with a vector given a quantity.

Explanation

To solve the problem of multiplying a scalar with a vector, we will follow these steps:

### Step 1: Identify the Scalar and the Vector
We have a scalar quantity and a vector quantity. In this case, the scalar is \(15\) and the vector is given as \( \vec{V} = 3\hat{i} + 4\hat{j} + 5\hat{k} \).

### Step 2: Write Down the Multiplication Expression
We need to multiply the scalar \(15\) with the vector \( \vec{V} \). This can be expressed as:
\[
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