Let a-2-k-b-2-k- and a unit vector c- be coplanar- If c- is perpendicular to a- then c-

The correct option is A 1√(2)( ĵ+k̂) Since c nbsp;is coplanar with nbsp; a nbsp;and nbsp; b , it can be written as a linear combina ...

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Applications of Dot Product

Let a⃗=2î+ĵ...

Question

Let $\to a = 2^i +^j +^k, \to b =^i + 2^j -^k$ and a unit vector $\to c$ be coplanar. If $\to c$ is perpendicular to $\to a$ , then $\to c =$

\frac{1}{\sqrt{2}} (-^j +^k)

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\frac{1}{\sqrt{3}} (-^i -^j -^k)

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\frac{1}{\sqrt{5}} (^i - 2^j)

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\frac{1}{\sqrt{5}} (-^i -^j -^k)

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Solution

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Similar questions

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

\to c = -^i + 2^i -^k . A

\to a + \to b

\to b + \to c

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

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

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

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

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

\to a

\to b

\to c

\frac{1}{\sqrt{3}}

\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} =

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

\to c

\to c

\to a,

\to c

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