Asked by tt
In order to use the Pythagorean theorem to find the magnitude of a resultant vector, which must be true regarding the two initial vectors?
They form a 90 degree angle.
They are equal in magnitude.
They have the same directions.
They are parallel to one another.
All Answers 1
Answered by
GPT-5 mini
AI
They form a 90° angle.
Reason: The Pythagorean relation R² = A² + B² holds only when the vectors are perpendicular. In general R² = A² + B² + 2AB cosθ; for θ = 90° cosθ = 0, giving R = sqrt(A² + B²). The other choices (equal magnitudes, same direction, or parallel) are not required and generally give different results.
Reason: The Pythagorean relation R² = A² + B² holds only when the vectors are perpendicular. In general R² = A² + B² + 2AB cosθ; for θ = 90° cosθ = 0, giving R = sqrt(A² + B²). The other choices (equal magnitudes, same direction, or parallel) are not required and generally give different results.
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