PLATO: Type the correct answer in each box. The vector is first dilated by a factor of 2.5 and then rotated by pi/2 radians. If the resulting vector is [a / b], then a = __ and b = __

a = -1, b = -2.5

Step-by-step explanation:

Rule for the dilation of a vector by a scale factor of k is,

(x, y) → (kx, ky)

BY using this rule for a vector by a scale factor of 2.5

→

Followed by the rotation by 90° Or radians,

Rule for rotation of a vector by 90° is,

(x, y) → (-y, x)

By this rule vector will become,

→

If we represent this vector by ,

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

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relating to or denoting a system of numbers and arithmetic based on the number ten, tenth parts, and powers of ten.

step-by-step explanation: