If a- - 3- - 2- - 7k- b- - 5- - - - 2k- and c- - - - - - k- then find a- b-c-

GIven a⃗=3î 2ĵ+7k̂, b⃗=5î+ĵ 2k̂, c⃗=î+ĵ k̂ a⃗· (b⃗×c⃗)=[a⃗ b⃗ c⃗] #160; = a_1 amp;b_1 amp;c_1 a_2 amp; b_2 amp; c_2 a_3 a ...

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Multiplication of a Vector by a Scalar

If a⃗ = 3ĵ ...

Question

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

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Solution

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\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 = 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}

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