The value of -a-2-a-2-a-k-2 is equal to

The correct option is B 2|a⃗|^2 [ | a⃗×î #160; | ^ 2 + ...

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Applications of Cross Product

The value of ...

Question

The value of $| \to a \times^i |^{2} + | \to a \times^j |^{2} + | \to a \times^k |^{2}$ is equal to

| \to a |^{2}

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2 | \to a |^{2}

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3 | \to a |^{2}

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6 | \to a |^{2}

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Solution

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\to a

| \to a \times^i |^{2} + | \to a \times^j |^{2} + | \to a \times^k |^{2} =

\to a = 4^i + 4^j - 7^k

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

^i \times (\to a \times^i) +^j \times (\to a \times^j) +^k \times (\to a \times^k) = 2 \to a

\to a

\to a

\to b

\frac{{∣ ∣ \to a + \to b ∣ ∣}^{2} - {∣ ∣ \to a - \to b ∣ ∣}^{2}}{{∣ ∣ \to a + \to b ∣ ∣}^{2} + {∣ ∣ \to a - \to b ∣ ∣}^{2}}

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

{{(\to a \times \to b) \times \to a} \times \to a} \times \to b =

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