Given that a - -k- -b-k- c - -k-The values of the following are i- a - b - b - c - c - aii- a - cc - c - b a

I.(a . b) = (î + ĵ + k̂) . (î ĵ + k̂) = 1 1 + 1 = 1 (b . c) = (î ĵ + k̂) . (î + ĵ k̂) = 1 1 1 = 1 (c . a) = (î + ĵ k̂) . (î + ĵ + k̂) = 1 + 1 1 ...

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Multiplication with Vectors

Given that a ...

Question

Given that $\to a =^i +^j +^k, - \to b = -^i +^j -^k, \to c =^i +^j -^k,$ The values of the following are
i. $(\to a . \to b) + (\to b . \to c) + (\to c . \to a)$
ii. $(\to a . \to c) \to c + (\to c . \to b) \to a$

3

ii.

2^i

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6

ii.

- 2^i

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1

ii.

- 2^k

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1

ii.

2^j

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

(\to a . \to b) + (\to b . \to c) + (\to c . \to a)

(\to a . \to c) \to c + (\to c . \to b) \to a

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

(\to a . \to b) + (\to b . \to c) + (\to c . \to a)

(\to a . \to c) \to c + (\to c . \to b) \to a

\to a =^i +^j +^k; \to b =^i -^j +^k; \to c =^i +^j -^k

^i \times (^j \times^k) +^j \times (^k \times^i) +^k \times (^i \times^j) =

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

\to a . \to b = 3, \to a \times \to b = \to c

3 \to b =

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