If p- - - q-4k- and r-k- then the unit vector in the direction of 3p-q-2r is

The correct option is A 13(î+2ĵ+2k̂) 3p+q 2r=3(î+ĵ)+(4k̂ ĵ) 2(î+k̂) =î+2ĵ+2k̂ ∴ Unit vector in the direction of 3p+q 2r = 13(î+2ĵ+2k̂ ...

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Addition of Vectors

If p=î + ĵ,...

Question

If $p =^i +^j, q = 4^k -^j$ and $r =^i +^k$ , then the unit vector in the direction of $3 p + q - 2 r$ is

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

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

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

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^i - 2^j + 2^k

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Solution

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Similar questions

The vector in the direction of the vector $^i - 2^j + 2^k$ that has magnitude 9 is

(a) $^i - 2^j + 2^k$

(b) $\frac{^i - 2^j + 2^k}{3}$

(d) $9 (^i - 2^j + 2^k)$

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

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

^i - 2^j + 2^k

^i +^j - 2^k

-^i + 2^j +^k

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] .

L_{1} : ¯ r = 3^i -^j + 2^k + λ (2^i + 4^j -^k);

L_{2} : ¯ r =^i +^j - 3^k + μ (4^i + 2^j + 4^k);

L_{3} : ¯ r = 3^i - 2^j - 2^k + t (2^i + 4^j - 2^k)

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