Let a - -k- - c - - -k- Then vector b satisfying a - b - c - 0 and a - b -3

The correct option is D î +ĵ 2k̂ Let b=aî+bĵ+ck̂;a×b+c=0 b+c+1=0,a= 1; a.b=3 b c=3 a= 1,b=1,c= 2b= 1î+1ĵ 2k̂ ...

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Intersection of Sets

Let a =ĵ -k...

Question

Let $\to a =^j -^k; \to c =^i -^j -^k$ . Then vector $\to b$ satisfying $\to a \times \to b + \to c = \to 0$ and $\to a . \to b = 3$

2^i -^j + 2^k

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^i -^j - 2^k

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^i +^j + 2^k

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-^i +^j - 2^k

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Solution

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Similar questions

\to a =^j -^k; \to c =^i -^j -^k

\to b

\to a \times \to b + \to c = 0

\to a . \to b = 3

\sqrt{2}

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

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

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

-^i -^k

^j -^k

^i -^j

^i +^k

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

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

\to a . (\to b \times \to c)

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

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

¯ ¯ c = 3^i +^k

¯ ¯ c = m ¯ ¯ ¯ a + n ¯ ¯ b

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