Component of a-k- perpendicular to the vector b-2-k- is-

The correct option is B 13(î 4ĵ 2k̂) a̅=î ĵ k̂ b̅=2î+ĵ k̂ a_=a a.bb.b(b̅) a_=(î ĵ k̂) (î ĵ k̂).(2î+ĵ k̂)(√((2)^2+(1)^2+(1)^2))^2 (2î+ĵ ...

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Linear Combination of Vectors

Component of ...

Question

Component of $\to a =^i -^j -^k$ perpendicular to the vector $\to b = 2^i +^j -^k$ is?

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

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\frac{1}{3} (^i - 4^j - 2^k)

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\frac{1}{3} (^i + 4^j + 2^k)

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

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\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}

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

[\to a \to b \to c] .

\to A =^i - 2^j + 2^k, \to B = 2^i +^j -^k

\to C = 3^i -^j + 2^k

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

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

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

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

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

\to c = 3^i +^j + 2^k .

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