Linear Algebra 2f: The Origin in the Plane and the Parallelogram Rule

[antonellomascarello]

0:13 : aesthetic reason for the need of the parallelogram rule

1:14 : important assumption : as long as vectors have the same length and direction they are considered equal

1:44 : In LA we consider only vectors which emanate from the origin

3:09 : The Parallelogram rule

5:16 : when the Parallelogram rule fails (but the tip-to-tail rule does not !)

[pengjerry]

I feel I had less deep understanding about Linear Algebra after watching your video even though I have learnt it four years before. Very impressive!

[jerrytjohn]

Thank you. I lov your informal approach to the subject.

[lauramog]

Gracias, increíblemente útil cada video!!!

[barryhughes]

Struggling with vector can two vectors be the same if they have the same magnitude and direction? If two vectors are parallel then surely by definition they are not in the same direction. One vector parallel to another may be offset by say an arbitrary amount and thus does not point to the same " thing " as the other. Is this me just being stupid or is the ambiguity in the meaning of the "same direction?. Should it not be said that the vectors have the same " orientation? " Although confused I would still wish to thank you sir for these inspirational videos, ' your enthusiasm and love of the subject is plain to see and encourages others in this respect. Thanks again.

[billhab]

Please Dr, which linear Algebra book would you recommend for using along with this valuable course.

[kumararajaeedara]

_/\_ _/\_ _/\_ to all your lectures.