Points are locations; vectors encode displacement.
1. Which description correctly defines the real plane ?
2. Which three features characterize the geometric vector from point A to point B?
3. Which condition shows that w is a linear combination of u and v?
What is the real plane R2 composed of?
All ordered pairs of real numbers.
What three properties characterize a geometric vector from A to B?
Magnitude, direction, and orientation from A to B.
What is the zero vector in geometric terms?
It is the vector with magnitude zero representing all such vectors including every vector AA.
What does Chasles' relation state for points A, B, and C?
What defines an orthonormal frame in the plane and space?
Standard vectors are unit length and mutually orthogonal.
What is the formula for the norm of a vector (x,y,z) in R3?
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