Evaluate :
$(^i +^j) \times^k$

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Solution

Now,
$\begin{matrix} (ˆ i + ˆ j) \times ˆ k = ˆ i \times ˆ k + ˆ j \times ˆ k = - ˆ j \times ˆ i = (ˆ i - ˆ j) \end{matrix}$

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Similar questions

^i \times (^j \times^k) +^j . (^i \times^k) -^k . (^i \times^i)

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

\to a =^i +^j +^k

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

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

\to d =^i -^j -^k

| (\to a \times \to b) . (\to c \times \to d) | =

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

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

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

\to d =^i -^j -^k

(\to a \times \to b) \times (\to c \times \to d) =

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