If a-k- b-2-3k- and c-2-k- find a unit vector parallel to the vector 2a-b-3c- -

We have, a⃗=î+ĵ+k̂, b⃗=2î ĵ+3k̂ and c⃗=î 2ĵ+k̂ 2a⃗ b⃗+3 c⃗=2(î+ĵ+k̂) (2î ĵ+3k̂+3(î 2ĵ+k̂ =2î+2ĵ+2k̂ 2î+ĵ 3k̂+3î 6ĵ+3k̂ =3î ĵ+2k̂ | ...

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Nature of Roots

If a⃗=î+ĵ+k...

Question

If $\to a =^i +^j +^k, \to b = 2^i -^j + 3^k$ and $\to c =^i - 2^j +^k$ , find a unit vector parallel to the vector $2 \to a - \to b + 3 \to c$ .

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

\to c = -^i +^j - 4^k

\to d =^i +^j +^k

| (\to a \times \to b) \times (\to c \times \to d) |

\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 +^k,

\to b = 2^i - 4^j - 3^k, \to c = -^i + 2^j + 2^k

\to a + \to b + \to c = 4^i - 4^j

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

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

\sqrt{78}

\to a, \to b, \to c

\to a =^i + 2^j + 3^k

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

\to d = 2^i -^j - 3^k

\to a, \to b

\to c

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