Scalars, vectors, and adding vectors
A scalar quantity has only a size (magnitude), like distance, speed, mass, or time. A vector quantity has both a magnitude and a direction, like displacement, velocity, acceleration, or force. Vectors are drawn as arrows and added head to tail: the resultant is the arrow from the tail of the first to the head of the last. When two vectors are perpendicular, the Pythagorean theorem gives the resultant's size: walking 3 meters east and then 4 meters north gives a displacement of 5 meters (to the northeast), even though the distance walked is 7 meters. Breaking a vector into perpendicular components works the same way in reverse, and is how two-dimensional motion is analyzed.
This explanation is AI-generated and can occasionally be wrong.
Vibistic AI
🔒 We never store your messages. The free built-in AI runs through Vibistic's own server, on Cloudflare's own AI infrastructure. You can also add your own API key to send messages straight from your browser to your AI provider instead.
Your notes
Test your knowledge
This test is AI-generated and can occasionally be wrong. If something looks off, use Report below.
No API key configured yet. Clicking below will ask whether to add one or take a free version of this test when one is available.
This midterm covers a lot of topics, so it's split into 2 parts. Each part includes a question from every one of its topics.
Midterm, Part 1 of 2
This test is AI-generated and can occasionally be wrong. If something looks off, use Report below.
No API key configured yet. Clicking below will ask whether to add one or take a free version of this test when one is available.
Midterm, Part 2 of 2
This test is AI-generated and can occasionally be wrong. If something looks off, use Report below.
No API key configured yet. Clicking below will ask whether to add one or take a free version of this test when one is available.
This final covers a lot of topics, so it's split into 4 parts. Each part includes a question from every one of its topics.
Final, Part 1 of 4
This test is AI-generated and can occasionally be wrong. If something looks off, use Report below.
No API key configured yet. Clicking below will ask whether to add one or take a free version of this test when one is available.
Final, Part 2 of 4
This test is AI-generated and can occasionally be wrong. If something looks off, use Report below.
No API key configured yet. Clicking below will ask whether to add one or take a free version of this test when one is available.
Final, Part 3 of 4
This test is AI-generated and can occasionally be wrong. If something looks off, use Report below.
No API key configured yet. Clicking below will ask whether to add one or take a free version of this test when one is available.
Final, Part 4 of 4
This test is AI-generated and can occasionally be wrong. If something looks off, use Report below.
No API key configured yet. Clicking below will ask whether to add one or take a free version of this test when one is available.