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Vectors

Question 1 • [HSPHY] Physics Sem 1 (26-27)

If two vectors are perpendicular to each other, how should you add them?

Answer
A
Resolve each vector into its x and y components.
B
Use the Pythagorean theorem.
C
They can not be added.

Explanation

Perpendicular vectors form the legs of a right triangle when added head-to-tail. Use the Pythagorean theorem to find the magnitude of their resultant: if the vectors have magnitudes a and b, the resultant has magnitude √(a² + b²). So the correct choice is “Use the Pythagorean theorem.”

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