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Salsk061 [2.6K]3 years ago

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yawa3891 [41]

Answer:

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Step-by-step explanation:

Rule for the dilation of a vector $\binom{x}{y}$ by a scale factor of k is,

(x, y) → (kx, ky)

BY using this rule for a vector $\binom{-1}{4}$ by a scale factor of 2.5

$\binom{-1}{4}$ → $\binom{-2.5}{1}$

Followed by the rotation by 90° Or $\frac{\pi }{2}$ radians,

Rule for rotation of a vector by 90° is,

(x, y) → (-y, x)

By this rule vector $\binom{-2.5}{1}$ will become,

$\binom{-2.5}{1}$ → $\binom{-1}{-2.5}$

If we represent this vector by $\binom{a}{b}$ ,

Then a = -1 and b = -2.5 will be the answer.

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