Find the values of x and y so that the vectors 2i-3j and xi-yj are equal-

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Equal Vectors

Find the valu...

Question

Find the values of x and y so that the vectors $2 ˆ i + 3 ˆ j$ and $x ˆ i + y ˆ j$ are equal.

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2 \to i + 3 \to j

x ˆ i + y ˆ j

x i - 3 j + 7 k

i + y j - z k

\frac{x y^{2}}{z} =

\vec{a} = x \hat{i} + 2 \hat{j} - z \hat{k} and \vec{b} = 3 \hat{i} - y \hat{j} + \hat{k}

¯ ¯ ¯ a = x ¯ i + 2 ¯ j, ¯ ¯ b = y ¯ j + 3 ¯ ¯ ¯ k

¯ ¯ c = x ¯ i + y ¯ j + z ¯ ¯ ¯ k

¯ ¯ ¯ a \times ¯ ¯ b = z ¯ i - 3 ¯ j + ¯ ¯ ¯ k

[¯ ¯ ¯ a ¯ ¯ b ¯ ¯ c] =

Find the value of x and y so that the vectors $2^i + 3^j$ and $x^i + y^j$ are equal.

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