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Ahat [919]
3 years ago
13

What shape is always created in graphing the addition of two vectors?

Mathematics
1 answer:
Gennadij [26K]3 years ago
3 0
<h3>Answer: Parallelogram</h3>

You could use the parallelogram rule to add the vectors, or you could use the tip-to-tail method (your textbook might call it the "head to tail method" but it's the same idea).

An example of the parallelogram method is shown below with adding the vector u = (-4,4) in red to the vector v = (8,2) in blue to get the vector w = (4,6) in green. The green resultant vector is one of the diagonals of the parallelogram

Side note: The other diagonal is either u-v or v-u depending on your reference point.

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Tyrone has a piece of yarn that is 3 feet long. he measures it again to find the number of inches. will the number of feet or th
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Answer:

a. i. 3000 cm² ii. 220 cm  b.  6 feet

Step-by-step explanation:

A. i. The area of the sector AOB is A = ¹/₂r²θ where r = radius of circle = 50 cm and θ = angle subtended at the center of the circle by the sector in radians = 2.4 radians.

So, A = ¹/₂r²θ

= ¹/₂(50 cm)² × 2.4 rad

= ¹/₂ × 2500 cm² × 2.4 rad

= 1250 cm² × 2.4 rad

= 3000 cm²

ii. The perimeter of the sector is P = 2r + rθ = (2 + θ)r

substituting r and θ, we have

P = (2 + θ)r

= (2 + 2.4) × 50 cm

= 4.4 × 50 cm

= 220 cm

B. Since length of an arc L = rθ where r = radius = length of pendulum and θ = angle swept by pendulum =  ½ radian and length of the arc swept = 3 feet, the radius is

r = L/θ

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