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scZoUnD [109]
3 years ago
9

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 = __

Mathematics
2 answers:
yawa3891 [41]3 years ago
5 0

Answer:

a = -1, b = -2.5

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.

Pani-rosa [81]3 years ago
5 0

Answer:

a= -10 b= -2.5

Step-by-step explanation:

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