Consider the vectors A-k- B-2 -k- C-1-5-2 -2 k- - What is the value of C- -A-B- -A- 1B- 0- 3 -2D- 18 -5

The correct option is B 0A⃗×B⃗ = î amp;ĵ amp;k̂ 1 amp; 1 amp; 1 2 amp; 1 amp;1 = 3ĵ 3k̂ C⃗. (A⃗×B⃗) = 1/√(5) (0+6 6) = 0 ...

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Implicit Differentiation

Consider the ...

Question

Consider the vectors $\to A =^i +^j -^k, \to B = 2^i -^j +^k, \to C = \frac{1}{\sqrt{5}} (^i - 2^j + 2^k)$ . What is the value of $\to C . (\to A \times \to B)$ ?

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3 \sqrt{2}

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18 \sqrt{5}

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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 +^k

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

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

\to a \times (\to b \times \to c) = (1 + α)^i + β (1 + α)^j + r (1 + α) (1 + β)^k

\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^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 +^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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