Koordinati u Prostori: Vektori

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What is a vector in the context of coordinates?

A vector is a quantity that has both magnitude and direction, often represented as an arrow in space.

How do you calculate the magnitude of a vector in 3D space?

The magnitude of a vector (a, b, c) in 3D space is √(a² + b² + c²).

What is vector addition?

Vector addition is combining two vectors by adding their corresponding components.

What is the result of multiplying a vector by a scalar?

Multiplying a vector by a scalar changes the magnitude and can reverse the direction if the scalar is negative.

What is the dot product of two vectors?

The dot product of vectors A = (a1, b1, c1) and B = (a2, b2, c2) is a1*a2 + b1*b2 + c1*c2.

When are two vectors considered to be orthogonal?

Two vectors are orthogonal if their dot product is zero.

What is the cross product of two vectors in space?

The cross product of two vectors is a vector that is perpendicular to both of the original vectors.