ArashB77351 ArashB77351

25-10-2022
Mathematics

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Which of the following is equal to - 7/4w expressed as a linear combination of vectors, if W= -1/2i- 3/2j?

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KasiK406988 KasiK406988

25-10-2022

[tex]w=-\frac{1}{2}i-\frac{3}{2}j[/tex]

Therefore, the scalar multiplication of vector -7/4 w is given by

[tex]-\frac{7}{4}w=-\frac{7}{4}(-\frac{1}{2}i-\frac{3}{2}j)[/tex][tex]=\frac{7}{8}i+\frac{21}{8}j[/tex]

Hence, the linear combination is 7/8 i + 21/8 j

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