Linear Algebra · Lesson 1
Vectors – Intro & Operations
A vector is a quantity with both magnitude (size) and direction. Vectors power physics, graphics, machine learning, and navigation — they are the atoms of linear algebra.
Quick Check
1. What is u + v where u = (2, 5) and v = (−1, 3)?
(1, 2)
(1, 8)
(3, 8)
(2, 15)
2. What is 3 · (2, −1)?
(2, −3)
(6, −3)
(5, 2)
(6, 3)
3. The magnitude of vector (3, 4) is:
7
5
√7
12
4. A unit vector has magnitude:
0
1
The same as the original
Undefined