If a-4 -k- and b-2 -2 -k- then find a unit vector parallel to the vector a-b-

As a⃗ + b⃗ = 6 î 3ĵ+2k̂ Unit vector parallel to a⃗ + b⃗ is 1/√(36+9+4)(6 î 3 ĵ + 2k) i.e., 1/7(6 î 3 ĵ + 2 k̂). ...

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Vector Component

If a⃗=4 î-ĵ+k...

Question

If $\to a = 4^i -^j +^k$ and $\to b = 2^i - 2^j +^k,$ then find a unit vector parallel to the vector $\to a + \to b$ .

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\to a =^i +^j +^k, \to b = 2^i -^j + 3^k

\to c =^i - 2^j +^k

2 \to a - \to b + 3 \to c

\to a =^i +^j -^k, \to b = -^i + 2^j + 2^k

\to c = -^i + 2^j -^k

\to a + \to b

\to b + \to c

\to a =^i +^j -^k, \to b = -^i + 2^j +^k

\to c = -^i + 2^i -^k . A

\to a + \to b

\to b + \to c

\to A = 3^i + 2^j

\to B = 2^i + 3^j -^k

(\to A - \to B)

\to a = 2^i + 4^j - 5^k, \to b =^i +^j +^k, \to c =^j + 2^k

\to a + \to b + \to c

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