Answer:
I hope this helps you
Step-by-step explanation:
The magnitude of given operations of vectors are found.
What are Vectors?Vectors are quantities which are having the independent properties of magnitude as well as direction.
Given that,
u = (-3, 8) and v = (-14, 6)
3u = (-9, 24) and 2v = (-28, 12)3u - 2v = (-9+28, 24-12) = (19, 12)
Magnitude of 3u - 2v = [tex]\sqrt{19^2+12^2}[/tex] = [tex]\sqrt{505}[/tex] units
2u = (-6, 16) and 3v = (-42, 18)2u - 3v = (36, -2)
Magnitude = [tex]\sqrt{36^2+(-2)^2}[/tex] = [tex]\sqrt{1300}[/tex] units
u = (-3, 8) and 4v = (-56, 24)u + 4v = (-59, 32)
Magnitude = [tex]\sqrt{(-59)^2+32^2}[/tex] = [tex]\sqrt{4505}[/tex] units
5u = (-15, 40) and v = (-14, 6)5u - v = (-1, 34)
Magnitude = [tex]\sqrt{1157}[/tex] units
7u = (-21, 56) and 2v = (-28, 12)7u - 2v = (7, 44)
Magnitude = [tex]\sqrt{1985}[/tex] units.
Hence the magnitude of vectors are found.
Learn more about Vectors here :
https://brainly.com/question/13322477
#SPJ5
3r + 6y - 2z = -6 2x + y + 4z = 19 -5x - 2y+8z = 62
solve each system of equations