The components that are a possible representation of vector w if the magnitude of vector -3w is ||-3w||=15 are:
From the question, we were given:
|-3w| = 15
3|-w| = 3|w| = 15
Hence:
|w| = 15/3
|w| = 5
If vector w is represented by <-3,4>, then:
[tex]\sqrt{(-3)^2 + (4)^2} \\\\\\\sqrt{25} = 5[/tex]
If vector w is represented by <0,-5>
[tex]\sqrt{(0)^2 + (-5)^2} \\\\\\\sqrt{25} = 5[/tex]
Therefore, The components that are a possible representation of vector w if the magnitude of vector -3w is ||-3w||=15 are:
See full question below
Which components are a possible representation of vector w if the magnitude of vector -3w is ||-3w||=15?
<1,-9>
<-3,4>
<4,5>
<-5,-3>
<0,-5>
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