If a-2-5-8k- b-3-7k- and c-3-2-k- then find the value of a- b-c-

Find the value of a⃗× (b⃗×c⃗) b⃗×c⃗=î amp; ĵ amp; k̂ 1 amp; 3 amp; 7 3 amp; 2 amp; 1 b⃗×c⃗=î(3 14) ĵ(1 21) + k̂(2 9) ...

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Consistency of Linear System of Equations

If a⃗=2î+5ĵ...

Question

If $\to a = 2^i + 5^j + 8^k, \to b =^i + 3^j + 7^k$ and $\to c = 3^i + 2^j +^k$ then find the value of $\to a \times (\to b \times \to c)$ .

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Solution

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\to a = 2^i - 5^j + 8^k, \to b =^i - 3^j -^k, \to c = - 3^i - 2^j -^k

| \to a + \to b + \to c |

\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 = 2^i - 3^j + 7^k, \to B =^i + 2^j

\to C =^j -^k .

\to A \cdot (\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 = 3^j - 2^j + 7^k, \to b = 5^i +^j - 2^k

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

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

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