If - k- is an orthonormal system of vectors- a- is a vector and a- -2a-5-0- then a-

The correct option is C 2ĵ+k̂ Let a⃗ =λî+μĵ+γk̂ a⃗×î= μk̂+γĵ a⃗×î+2(λî+μĵ+γk̂ 5ĵ)=0 μk̂+γĵ+2λî+2μĵ+2γk̂ 5ĵ=o 2μ +γ =5 ——— (1) ...

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Applications of Cross Product

If î,î, k̂ ...

Question

If $^i,^i,^k$ is an orthonormal system of vectors, $\to a$ is a vector and
$\to a \times^i$ $+ 2 \to a - 5^j = ¯ ¯ ¯ 0$ , then $\to a =$

2^j +^k

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2^i -^k

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2^i -^j

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None of these

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Solution

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Similar questions

\to a =^i +^j +^k, \to b = 2^i -^j + 3^k

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

2 \to a - \to b + 3 \to c

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

\to c = -^i + 2^i -^k . A

\to a + \to b

\to b + \to c

\to a = 2^i +^j - 3^k, \to b =^i - 2^j +^k

\to c = -^i +^j - 4^k

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

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

\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}

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