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A neuron with inputs has the weight vector $\begin{bmatrix}0.2 & -0.1 & 0.1 \end{bmatrix}^T$ and a bias $\theta =0$. If the input vector is $X = \begin{bmatrix}0.2 & 0.4 & 0.2 \end{bmatrix}^T$. Then the total  input to the neuron is:

  1. $0.20$
  2. $1.0$
  3. $0.02$
  4. $-1.0$
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The question is asking the number of inputs. And options are for the weighted sum. weird!
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Neural networks is a huge topic which cannot be explained here. It is off-topic anyway.

$f(x) = W^{T}*X + \theta$

f(x) = 0.2*0.2 - 0.1*0.4 + 0.1*0.2 = 0.02

Option C.

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