If A-B-3-2-k- B-C-2-k- C-D-2-3k- O-A-k- then the position vector of O-D- is

The correct option is D 7î+2ĵ+4k̂ OA+AB+BC+CD= OD Adding all vectors we get OD= 7î+2ĵ+4k̂ So Position Vector of OD is #160; D= 7î+2ĵ+ ...

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Multiplication of a Vector by a Scalar

If A⃗B⃗=3î-...

Question

If $\to A B = 3^i - 2^j +^k$ , $\to B C =^i + 2^j -^k$ , $\to C D = 2^i +^j + 3^k$ , $\to O A =^i +^j +^k$ , then the position vector of $\to O D$ is

7^i - 2^j - 3^k

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7^i - 2^j + 3^k

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7^i + 2^j - 3^k

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7^i + 2^j + 4^k

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Solution

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Similar questions

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

\to b = 3^i + 2^j +^k

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

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

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

(2^i + 3^j + 4^k) \times (^i -^j +^k)

^i + 2^j + 3^k

- 2^i + 3^j + 5^k

7^i -^k

- 2^i + 3^j + 5^k,^i + 2^j + 3^k a n d 7^i -^k

^i +^j +^k, 2^i + 5^j, 3^i + 2^j - 3^k

^i - 6^j -^k

A, B, C

D

\to A B

\to C D

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