MTH CALCULUS: 1-AlgebraicVectors(2D), 2-AlgebraicVectors(3D), 3-AlgebraicVectors(3D) | 2026 Complete Solutions

Algebraic Vectors
Geometric Vectors

 Geometric vectors are vectors with no fixed location

 Geometric vectors are written as a ______________________ and a ________________________

i.e. ___________________________



Algebraic Vectors

 Algebraic vectors are vectors that are drawn on a coordinate plane with the tail at ____________.


Polar Coordinates

 Algebraic vectors can be written using polar coordinates in the form ________________________,

where the angle is measured from the terminal arm (positive x-axis).


i.e. _____________________ or ______________________


1. Plot the vector a = (4, 120o) 2. Plot the vector a = 9 units [S45oW]

, Cartesian Coordinates

 Algebraic vectors can be written using Cartesian coordinates in ___________________________
or _________________________ form.

i.e. _____________________ or ______________________


1. Draw the following algebraic vectors:

a) a = (3, 5) b) a = (-4, 1)




2. Write the vector AB in component form if:

a) A = (4, 3) and B = (-1, 1)



b) A = (25, 70) and B = (15, 100)




3. Determine a + b if a = (1, 5) and b = (3, -2)




4. Determine 2 a if a = (-3, -1)