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SUPER EASY MATH! WILL MARK BRAINLIEST!Given the vectors in component form:

r = ⟨8, 4⟩

s = ⟨–3, –4⟩

t = ⟨–5, 1⟩

Perform the operations.

5r – 3s + 8t

What is the magnitude and direction angle of the resultant vector?

A. 10.8, θ = 56.3°
B. 18.4, θ = 119.4°
C. 41.0, θ = 77.3°
D. 97.6, θ = 24.2°

Answer :

Sqdancefango

9514 1404 393

Answer:

  C.  41.0, θ = 77.3°

Step-by-step explanation:

The sum is ...

  5(8, 4) -3(-3, -4) +8(-5, 1) = (5·8-3(-3)+8(-5), 5·4-3(-4)+8·1)

  = (40+9-40, 20+12+8) = (9, 40)

The magnitude is ...

  √(9² +40²) = √1681 = 41

The angle is ...

  arctan(40/9) ≈ 77.3°

The resultant magnitude and direction is 41∠77.3°.

Maribellucas322go

Answer:

41.0, θ = 77.3°

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