Mathematics, 28.07.2019 09:00 Kookiexperfect9420

What is the projection of (2,5) onto (1,3)?

Answers: 2

Show answers

Answers

Answer from: bryn2433

First, you have to calculate the dot product of a (2, 5) and b(1, 3)
a · b = (2, 5) · (1, 3) = 2×1 + 5×3 = 17

Then, you have to calculate the magnitude of b
|b| = √(1² + 3²) = √10

The scalar projection will be:
sp = (a · b) / |b| = 17/√10 = (17√10)/10

The vector projection will be:
vp = [(a · b) / |b|² ] b = 17/10 (1, 3) = (17/10, 51/10)

Answer from: Quest

Where’s the problems ? ?

Answer from: Quest

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

in this lesson, students will use double number lines and ratio reasoning to solve ratio problems. by partitioning double number lines into proportionate intervals, students will build an understanding of equivalent ratio relationships as those that are generated by multiplying or dividing two related quantities by the same number. this lesson will build upon students' prior understanding of multiplicative comparisons, number line reasoning and equivalent fractions (while highlighting the difference between equivalent fractions and equivalent ratios); and will build toward future work in this unit on building ratio tables, and work in future grades in proportionality, scaling, and expressing and graphing linear functions.

step-by-step explanation:

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

Another question on Mathematics

Mathematics, 21.06.2019 13:00

The graph shows the prices of different numbers of bushels of corn at a store in the current year. the table shows the prices of different numbers of bushels of corn at the same store in the previous year. previous year number of bushels price of corn (dollars) 2 10 4 20 6 30 8 40 part a: describe in words how you can find the rate of change of a bushel of corn in the current year, and find the value. part b: how many dollars more is the price of a bushel of corn in the current year than the price of a bushel of corn in the previous year? show your work.

Answers: 1

Answer

Mathematics, 21.06.2019 16:30

Hillel is juggling flaming torches to raise money for charity. his initial appearance raises $500\$500 $500 , and he raises $15\$15 $15 for each minute of juggling performance. the amount rr r of money hillel raises is a function of tt t , the length of his performance in minutes. write the function's formula.

Answers: 1

Answer

Mathematics, 21.06.2019 19:00

You are at a restaurant and owe $38 for your meal. you want to leave a 20% tip. how much will your tip be?

Answers: 1

Answer

Mathematics, 21.06.2019 19:20