1. Q
Terminal Point
Initial Point P
Directed line segment

2. Terminal point of w
Initial point of v

3. Vector addition is commutative.
Vector addition is associative.

5. Use the vectors illustrated below to graph each expression.

10. Vector magnitude is like complex number (1) real part (2) imaginary part (3) argument (4) modulus

11. Let i denote a unit vector whose direction is along the positive x-axis; let j denote a unit vector whose direction is along the positive y-axis. If v is a vector with initial point at the origin O and terminal point at P = (a, b), then

12. P = (a, b) b
v = ai + bj a

14. v = 5i + 3j O

17. For any nonzero vector v, the vector
Theorem Unit Vector in Direction of v
For any nonzero vector v, the vector
is a unit vector that has the same direction as v.

18. Find a unit vector in the same direction as v = 3i - 5j.