If a-2-2k- then the value of a - i2-a- j2-a - k2-

The correct option is D 18 a⃗×î=k̂+2ĵ a⃗×ĵ=2k̂ 2î a⃗×k̂= 2ĵ 2î So ( a⃗×î )^2+ (a⃗×ĵ )^2+ (a⃗×k̂ )^2=5+8+5 = 18 ...

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Applications of Cross Product

If a⃗=2î-ĵ+...

Question

If $\to a = 2^i -^j + 2^k$ , then the value of $(a \times i)^{2} + (a \times j)^{2} + (a \times k)^{2} =$

2

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18

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$I f \to a = 2^i +^j + 3^k a n d \to b = 3^i + 5^j - 2^k, t h e n f i n d ∣ ∣ ∣ \to a \times \to b ∣ ∣ ∣ .$

(a \times i)^{2} + (a \times j)^{2} + (a \times K)^{2}

\to A =^i +^j -^k, \to B = 2^i -^j +^k, \to C = \frac{1}{\sqrt{5}} (^i - 2^j + 2^k)

\to C . (\to A \times \to B)

\to a = 2^i +^j + 2^k,

{∣ ∣^i \times (\to a \times^i) ∣ ∣}^{2} + {∣ ∣^j \times (\to a \times^j) ∣ ∣}^{2} + {∣ ∣^k \times (\to a \times^k) ∣ ∣}^{2}

\to A =^i - 2^j + 2^k, \to B = 2^i +^j -^k

\to C = 3^i -^j + 2^k

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