Find the value of k1 and k2 for which V- can be represented as V- - k1A-k2B- Where- V-2i-j -A - - 3i-2j and B- - 3i-3j-

The vector V can be expressed asV→=k1A→+k2B→ 2i j nbsp;= nbsp;k1(3i 2j) nbsp;+ nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; n ...

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Fundamental Theorem in 2D

Find the valu...

Question

Find the value of $k_{1}$ and $k_{2}$ for which $\to V$ can be represented as $\to V = k_{1} \to A + k_{2} \to B$ . Where, $\to V = 2 i - j$ ,
$\to A = 3 i - 2 j$ and $\to B = 3 i + 3 j .$

k_{1} = 1

and

k_{2} = 1

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k_{1} = \frac{3}{5} and k_{2} = \frac{1}{2}

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k_{1} = \frac{- 2}{3} and k_{2} = \frac{2}{5}

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k_{1} = \frac{3}{5} and k_{2} = \frac{1}{15}

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k_{1}

k_{2}

\to V

\to V = k_{1} \to A + k_{2} \to B

\to V = 2 i - j

\to A = 3 i - 2 j

\to B = 3 i + 3 j .

[\vec{a} \vec{b} \vec{c}]

\vec{a} = 2 \hat{i} - 3 \hat{j}, \vec{b} = \hat{i} + \hat{j} - \hat{k} and \vec{c} = 3 \hat{i} - \hat{k}

\vec{a} = \hat{i} - 2 \hat{j} + 3 \hat{k}, \vec{b} = 2 \hat{i} + \hat{j} - \hat{k} and \vec{c} = \hat{j} + \hat{k}

\vec{a} = 2 \hat{i} + 3 \hat{j} + \hat{k}, \vec{b} = \hat{i} - 2 \hat{j} + \hat{k} and \vec{c} = - 3 \hat{i} + \hat{j} + 2 \hat{k}

\vec{a} = 2 \hat{i} + 3 \hat{j} + 4 \hat{k}, \vec{b} = \hat{i} + 2 \hat{j} - \hat{k}, \vec{c} = 3 \hat{i} - \hat{j} + 2 \hat{k}

\vec{a} = 2 \hat{i} - 3 \hat{j} + 4 \hat{k}, \vec{b} = \hat{i} + 2 \hat{j} - \hat{k}, \vec{c} = 3 \hat{i} - \hat{j} - 2 \hat{k}

\vec{a} = 11 \hat{i}, \vec{b} = 2 \hat{j}, \vec{c} = 13 \hat{k}

\vec{a} = \hat{i} + \hat{j} + \hat{k}, \vec{b} = \hat{i} - \hat{j} + \hat{k}, \vec{c} = \hat{i} + 2 \hat{j} - \hat{k}

2 ¯ i - 3 ¯ j + 4 ¯ ¯ ¯ k, ¯ i - 2 ¯ j + 3 ¯ ¯ ¯ k

3 ¯ i + ¯ j - 2 ¯ ¯ ¯ k

a = 2 i - 3 j + 4 k, b = i + 2 j - k, c = 3 i - j + 2 k

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