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Two vectors are illustrated in the coordinate plane. What are the components of the vector in quadrant I?

Two vectors are illustrated in the coordinate plane. What are the components of the-example-1
User Nhunston
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1 Answer

5 votes

Answer:

option D

(2.6 , 3.1 )

Step-by-step explanation:

First quadrant is where x and y values are positive.

Given in the question,

magnitude of vector = 4

angle at which vector is incline from x-axis = 50°

Vertical component (y component)

sinΔ = opp / hypo

sin(50) = vertical / 4

vertical = sin(50)(4)

= 3.06

≈ 3.1

Horizontal component (x component)

cosΔ = adj / hypo

cos(50) = horizontal / 4

horizontal = cos(50)(4)

= 2.57

≈ 2.6

User Protuberian
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