Koordinati u Prostori: Vektori

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1/7 cards
What is a vector in the context of coordinates?
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A vector is a quantity that has both magnitude and direction, often represented as an arrow in space.
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How do you calculate the magnitude of a vector in 3D space?
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The magnitude of a vector (a, b, c) in 3D space is √(a² + b² + c²).
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What is vector addition?
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Vector addition is combining two vectors by adding their corresponding components.
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What is the result of multiplying a vector by a scalar?
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Multiplying a vector by a scalar changes the magnitude and can reverse the direction if the scalar is negative.
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What is the dot product of two vectors?
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The dot product of vectors A = (a1, b1, c1) and B = (a2, b2, c2) is a1*a2 + b1*b2 + c1*c2.
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When are two vectors considered to be orthogonal?
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Two vectors are orthogonal if their dot product is zero.
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What is the cross product of two vectors in space?
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The cross product of two vectors is a vector that is perpendicular to both of the original vectors.
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