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Let u = i + j, v = i – j, and w = i + 2j + 3k. If n is a unit vector such that u.n = 0 and v.n = 0, then find |w.n|.

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Let n = xi + yj + zk such that |n| = 1. 

Now, u.n = 0

x + y = 0 

x = – y ...(i)

Now, |(w.n)| = |–3| = 3.

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