If r-1-2-4- r-2-4-2k- and r-3-k- then r-3- as linear combination of r-1- r-2- is

The correct option is A #10; r⃗_⃗3⃗=34r⃗_⃗1⃗ 12r⃗_⃗2⃗ #10;Since r_3 is a linear combination so r⃗_3=λr⃗_1+mr_2 1=2λ +m .... 1=4λ ...

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Applications of Cross Product

If r⃗⃗1⃗=2î...

Question

If $_{1} = 2^i + 4^j,_{2} =^i + 4^j - 2^k$ and $_{3} =^i +^j +^k$ , then $_{3}$ as linear combination of $_{1},_{2}$ is

_{3} = \frac{3}{4}_{1} - \frac{1}{2}_{2}

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_{3} = \frac{1}{4}_{1} + \frac{1}{2}_{2}

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_{3} = 3_{1} - 2_{2}

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_{3} = \frac{5}{4}_{1} - \frac{3}{4}_{2}

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Similar questions

_{1} = ({sec}^{2} A, 1, 1)

_{2} = (1, {sec}^{2} B, 1)

_{3} = (1, 1, {sec}^{2} C)

{cot}^{2} A + {cot}^{2} B + {cot}^{2} C

P, Q, R

_{1} = 3^i - 2^j -^k,_{2} =^i + 3^j + 4^k

_{3} = 2^i +^j - 2^k

O

P

O Q R

\to a, \to b, \to c

_{1} = \to a - \to b + \to c,_{2} = \to b + \to c - \to a

_{3} = \to c + \to a - \to b, \to r = 2 \to a - 2 \to b + 4 \to c

\to r = x_{1}_{1} + x_{2}_{2} + x_{3}_{3}

\to a, \to b, \to c

_{1} = \to a - \to b + \to c,_{2} = \to b + \to c - \to a

_{3} = \to c + \to a + \to b, \to r = 2 \to a - 3 \to b + 4 \to c

\to r = λ_{1}_{1} + λ_{2}_{2} + λ_{3}_{3}

\to a, \to b, \to c

_{1} = \to a - \to b + \to c,_{2} = \to b + \to c - \to a,_{3} = \to c + \to a + \to b

\to r = 2 \to a - 3 \to b + 4 \to c

\to r = λ_{1}_{1} + λ_{2}_{2} + λ_{3}_{3}

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