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WITCHER [35]
3 years ago
7

Q7 Q7.) Find the unit vector in the same direction as v.

Mathematics
2 answers:
igor_vitrenko [27]3 years ago
7 0
Use Pythagorean theorem:

9i-j = sqrt (9^2 - 1^2) = sqrt(81-1) = sqrt80

now divide both terms in V by that:

u = 9/sqrt(80)i - 1/sqrt(80)j

see attached picture: 

Tju [1.3M]3 years ago
6 0
|v| = sqrt(9^2+(-1)^2)=sqrt(82)

u = v/|v| = 9/sqrt(82) i - 1/sqrt(82) j

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Answer:

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Step-by-step explanation:

x— 3y+z= 6  (1)

2x — бу – 2 = -2  (2) <=> 2x - 6y = -2 + 2 = 0 <=> (2x - 6y)/2 = 0 <=> x - 3y = 0 (4)

—x+y+ 2 = 7​ (3) <=> -x + y = 7 - 2 <=> x - y = -5 (5)

Subtract (5) from (4), we have:

(x - 3y) - (x - y ) = 0 - (-5)

<=> x - 3y - x + y = 5

<=> -2y = 5

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Replace y with (4), we have x = 3 × (-5/2) = -15/2 (or -7 1/2)

Replace x with -15/2 and y with -5/2 in (1), we have z = 6 - (-15/2 - (-5/2)) = 6 + (15/2 - 5/2) = 6 + 5 = 11

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3 years ago
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