If a vector AB-2-k- and OB-3-4-4k- then the position vector OA is

AB=OB OA OA=OB AB OA=(3î 4ĵ+4k̂) (2î ĵ+k̂) OA= î 3ĵ+3k̂ ...

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Representation of Vectors

If a vector A...

Question

If a vector $- - \to A B = 2^i -^j +^k$ and $- - \to O B = 3^i - 4^j + 4^k,$ then the position vector $- - \to O A$ is

3^i - 2^j +^k

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3^i -^j +^k

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^i + 3^j - 2^k

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^i - 3^j + 3^k

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Solution

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

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\to a = - 2^i +^j +^k, \to b =^i + 5^j a n d \to c = 4^i + 4^j + 2^k

3 \to a - 2 \to b

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

\to a ⊥ \to b

λ

¯ ¯¯ ¯ A = 2^i + 3^j -^k

¯ ¯¯ ¯ B = -^i + 3^j + 4^k

¯ ¯¯ ¯ A

¯ ¯¯ ¯ B

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A, B, C

D

4^i + 4^j +^k, -^j -^k, 3^i + λ^j + 4^k

- 4^i + 4^j + 4^k

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