If a-2k- b-2-k- and c-3-k- then- find the scalars m and n such that c-ma-nb-

a⃗ =î +ĵ 2k̂ ; #160;b⃗ =2î ĵ +k̂ & c⃗ =3î k̂ Given c⃗ =mâ +nb̂ ⇒ #160;3î k̂ =m( î +ĵ 2k̂) +n (2î ĵ +k̂) ⇒ 3î k̂=( m+2n) î+( m ...

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Middle Terms

If a⃗=î+ĵ-2...

Question

If $\to a =^i +^j - 2^k$ , $\to b = 2^i -^j +^k$ and $\to c = 3^i -^k$ then, find the scalars $m$ and $n$ such that $\to c = m \to a + n \to b$

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

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

\to a \cdot (\to b \times \to c)

\to a \cdot (\to b \times \to c)

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

\to c = 3^i +^j + 2^k .

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

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

(\to a \times \to b) \times \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 = 2^i +^j + 3^k

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

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

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

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

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