Vault Of Euclid

Finding a Vector Between Two Points in 3D

Vector spaces warmup

Let \( S = (3, 8, 2) \) and \( T = (2, -1, 3) \). Express \( \vec{ST} \) in component form and in standard unit form.

The solution and a full step-by-step explanation are here. Sign in to read them.

What you need first

Basic arithmetic
Understanding of 3D Cartesian coordinates

What this problem tests

Tests the ability to correctly subtract initial coordinates from terminal coordinates and to translate between different vector notations.

This is a foundational exercise in multivariable calculus and linear algebra, introducing how to construct vectors from geometric points.

More on Vector spaces

← today's set