If A - 2- -9- - 4k- and B - 6- - - - k- then 3 A - B is

A = 2î + 9 ĵ + 4k̂ 3 A = 6î + 27ĵ + 12 k̂ B = 6 î ĵ + k̂ So, 3 A B = 6î + 27 ĵ + 12 k̂ 6î ĵ + k̂ = 0î + 26 ĵ + 13 k̂ 3A B = 13(2 ĵ + k̂) nbsp; ...

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Subtraction of a Vector

If A = 2î +9ĵ...

Question

If $\to A = 2^i + 9^j + 4^k$ and $\to B = 6^i +^j -^k$ , then $3 \to A - \to B$ is

13^i +^j - 26^k

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13 (^i +^j +^k)

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26 (^i +^k)

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13 (2^j +^k)

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Solution

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\to A = 2^i + 9^j + 4^k

\to B = 6^i +^j -^k

3 \to A - \to B

\to A = 2^i + 9^j + 4^k

\to B = 6^i +^j -^k

3 \to A - \to B

¯ ¯ ¯ a =^i +^j +^k, ¯ ¯ b = 2^i + λ^j +^k, ¯ ¯ c =^i -^j + 4^k

¯ ¯ ¯ a . (¯ ¯ b \times ¯ ¯ c) = 10

λ

\to a = 2^i + 3^j - 4^k, \to b =^i +^j +^k

\to c = 4^i + 2^j + 3^k,

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

\to a = 2^i + 3^j - 4^k

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

\to c = 4^j + 3^k

| (¯ ¯ ¯ a \times ¯ ¯ b) \times ¯ ¯ c |

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