MATHEMATICS HIGH SCHOOL

Find a unit vector u u in R 2 R2 such that u u is perpendicular to v . v. How many such vectors are there

Answers

Answer 1

Answer:

Answer: hello some part of your question is missing

Let v=〈−2,5〉 in R^2,and let y=〈0,3,−2〉 in R^3.

Find a unit vector u in R^2 such that u is perpendicular to v. How many such vectors are there?

answer:

One(1) unit vector ( < 5/√29, 2 /√29 > ) perpendicular to 〈−2,5〉

Step-by-step explanation:

let

u = < x , y > ∈/R^2 be perpendicular to v = < -2, 5 > ------ ( 1 )

hence :

-2x + 5y = 0

-2x = -5y

x = 5/2 y

back to equation 1

u = < 5/2y, y >

∴ || u || = y/2 √29

∧

u = < 5 /2 y * 2 / y√29 , y*2 / y√29 >

= < 5/√29, 2 /√29 > ( unit vector perpendicular to < -2, 5 > )

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Answers

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What is the equation of a line, in general form, with a slope of -2 and a y-intercept of 8? What is the slope of a line perpendicular to the line whose equation is y = 2x + 5?

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Answers

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Answers

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Answers

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Answers

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Step-by-step explanation

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Answers

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