If a-2-3k- b-2-k- and c-3-2k- Find a- b-c-

b⃗×c⃗ =| [ i amp; j amp; k; 1 amp; 2 amp; 1; 3 amp; 3 amp; 2 ]| #160; #160; #160; #160; #160; #160; [ =î( 4 1 ) ĵ( ...

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Dot Product of Two Vectors

If a⃗=2î+ĵ+...

Question

If $\to a = 2^i +^j + 3^k, \to b = -^i + 2^j +^k$ and $\to c = 3^i +^j + 2^k$ . Find $\to a \cdot (\to b \times \to c)$ .

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\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 = 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) =

\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)

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

\to C =^j -^k .

\to A \cdot (\to B \times \to C) .

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