3 Questions
What is the definition of a vector in algebra?
A quantity with both magnitude and direction
What is the result of adding two vectors of the same direction?
A vector with a magnitude equal to the sum of the magnitudes of the individual vectors and the same direction
What is the cross product of two vectors used to calculate?
The area of the parallelogram formed by the two vectors
Study Notes
Vectors in Algebra
- A vector is a quantity with both magnitude (length) and direction, represented graphically as an arrow in a coordinate system.
Vector Addition
- When adding two vectors of the same direction, the result is a vector with the same direction, and the magnitude is the sum of the magnitudes of the individual vectors.
Cross Product
- The cross product of two vectors is used to calculate the area of the parallelogram spanned by the two vectors, as well as the direction of the resulting vector, which is perpendicular to both original vectors.
Explore the fundamental concepts of vector algebra with this quiz. Test your understanding of vectors, addition of vectors with the same direction, and the purpose of the cross product in vector calculations.
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