Let `vecu=hati+hatj,vecv=hati-hatj and vecw=hati+2hatj+3hatk`. If `hatn` is a unit vector such that `vecu.hatn=0 and vecv.hatn=0, |vecw.hatn|` is equal to (A) 0 (B) 1 (C) 2 (D) 3

Explanation

To solve the problem step by step, we will begin by defining the vectors and the unit vector as given in the question.

### Step 1: Define the vectors
Let:
- \(\vec{u} = \hat{i} + \hat{j}\)
- \(\vec{v} = \hat{i} - \hat{j}\)
- \(\vec{w} = \hat{i} + 2\hat{j} + 3\hat{k}\)

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