Mathematics, 21.07.2019 15:30 bndkdiwjdjd

Vectors u and v are graphed. explain in detail each step necessary to find the angle between the two vectors.

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The angle between two vectors is:
cos (theta) = (u.v) / (lul * lvl)
We look for vectors u and v:
u = (- 3, -4)
v = (- 2, -1)
Making the product point:
u.v = (- 3, -4). (- 2, -1)
u.v = ((- 3) * (- 2)) + ((-4) * (- 1))
u.v = 6 + 4
u.v = 10
We look for the vector module:
lul = root ((- 3) ^ 2 + (-4) ^ 2) = 5
lvl = root ((- 2) ^ 2 + (-1) ^ 2) = 2.236067977
Substituting values:
cos (theta) = (10) / ((5) * (2.236067977))
Clearing the angle:
theta = acos ((10) / ((5) * (2.236067977)))
theta = 26.57 degrees

theta = 26.57 degrees

Answer from: trinityrae4657

26.6°

Step-by-step explanation:

This answer was correct, I just did the test!

Answer from: Quest

step-by-step explanation:

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.

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