izziebee
izziebee izziebee
  • 26-04-2019
  • Mathematics
contestada

What is the best approximation of the projection of (5, -1) onto (2, 6)

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 26-04-2019

Answer:

0.1(2, 6) = (0.2, 0.6)

Step-by-step explanation:

The projection of B onto A will be ...

|B|·cos(θ)×uA

where uA = A/|A|, a unit vector in the A direction.

The dot product of A and B is ...

A•B = |A|·|B|·cos(θ), so the desired vector is ...

projection of B onto A = (A•B)/|A|·(A/|A|) = A·(A•B)/|A|²

For A = (2,6) and B = (5, -1), this is ...

projection of (5, -1) onto (2, 6) = (2, 6)·(2·5-6·1)/(2²+6²) = (2, 6)·4/40 = 0.1·(2, 6)

= (0.2, 0.6)

Answer Link

Otras preguntas

I need help please asap
Is it possible to know the origin of the world?
I need help about human trafficking essay
It says “If 4 apples cost $1.00, what would be the cost of 10 apples?” -
10 points. Please help. A balloon can hold 10 liters of a gas. If you blow up this balloon with 2 moles of oxygen gas at a pressure of 0.76 atmospheres, what i
Brainles app doesn’t nothing to help me
THIS IS WORTH 30 POINTS 1. Point B is located at (-4, -6). Where is the location of B’ after a reflection over the y-axis?
How do you guys feel about Italys win in Eurovision 20201, in my opinion it was deserved Maneskin's song was so good
The population of Country A is about 1,047,000 and the population of Country B is about 1,080,000,000. Approximately how many times greater is the population of
TRUE OR FALSE HISTORY QUESTION, PLEASE HELP The idea of mass production was developed by Benjamin Franklin. - True - False