If a-k- b-k- then the vector c- such that a-c-3 a-c-b- is

The correct option is B 1/3 ( 5î+2ĵ+2k̂ ) a⃗ #160;= (1,1,1) b⃗ #160;= (0,1, 1) Let, #160; c⃗ #160;= (x,y,z) a⃗·c⃗ #160;= 3 ...

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Definition of Vector

If a⃗=î+ĵ+k...

Question

If $\to a =^i +^j +^k$ & $\to b =^j -^k,$ then the vector $\to c$ such that $\to a . \to c = 3$ & $\to a \times \to c = \to b$ is

\frac{1}{3} (3^i - 2^j + 5^k)

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\frac{1}{3} (5^i + 2^j + 2^k)

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\frac{1}{3} (^i + 2^j - 5^k)

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\frac{1}{3} (3^i + 2^j +^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) =

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

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

\to a + \to b

\to b + \to c

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

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

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

\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}

\to a =^i +^j, \to b =^j +^k, \to c = α \to a + β \to b

^i - 2^j +^k, 3^i + 2^j -^k, \to c

\frac{α}{β} =

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