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alekssr [168]
2 years ago
9

Vector u has initial point at (3, 9) and terminal point at (–7, 5). Vector v has initial point at (1, –4) and terminal point at

(6, –1).
What is u + v in component form?
⟨-10, -4⟩
⟨-5, -1⟩
⟨3, 9⟩
⟨5, 3⟩

Mathematics
1 answer:
spin [16.1K]2 years ago
3 0

Answer:

⟨-5, -1⟩

Step-by-step explanation:

Vector:

A vector is given by its endpoint subtracted by its initial point.

Vector u has initial point at (3, 9) and terminal point at (–7, 5)

Then

u = (-7, 5) - (3,9) = (-7 - 3, 5 - 9) = (-10,-4)

Vector v has initial point at (1, –4) and terminal point at (6, –1).

Then

v = (6,-1) - (1,-4) = (6-1,-1-(-4)) = (5,3)

What is u + v in component form?

u + v = (-10,-4) + (5,3) = (-10+5,-4+3) = (-5,-1)

⟨-5, -1⟩ is the answer.

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