They are quantities that have magnitude (i.e. amount) and direction, and are represented by arrows, with a length indicating the magnitude, and a direction of course indicating the direction. The math you can do with vectors is as follows. There's more, but the most important stuff to learn is this: 1. Determining component form. Knowing which trig term is needed to get each of the two components. Look at the extreme cases of angle = 0 degrees, and angle = 90 degrees, and know the general patterns of sine and cosine to determine which trig term to use. 2. Determining magnitude and direction, starting with component form 3. Scalar multiplication 4. Addition. Arrange head-to-tail, and find the shortest path from first tail to last head. Add up corresponding components, if given component form. 5. Subtraction. Like addition, but reverse the direction of one vector first. 6. Dot product. A measure of the product of magnitudes, and how aligned the vectors are. Work is an application of the dot product. It can be calculated by multiplying corresponding components, and adding them up. 7. Cross product. A third vector, perpendicular to both source vectors, equal to the product of their magnitudes and a measure of how crossed (i.e. perpendicular) the vectors are. An application of the cross product, is torque. There is a matrix to set this up, with the unit vector row, and a row for each source vector. Then you follow a procedure of multiplying along positive diagonals and negative diagonals.
I really like watching such videos. I would love to see these kinds of videos in a longer format going a bit more in depth. Great work nevertheless!
These kind of videos are great for people like me with short attention span 😅
So satisfying to watch, quick and easy. Awesome work buddy
Love solving it first and then watching how you solved it. I this case I simply calculated M1
I love your videos because your explanation is very simple and easy to understand
Wow i love this channel ❤
I m Bio. Students still I did it within a sec.
Ur a Bio student? I thot u wer an alcoholic😂
So, a very basic version to explain vectors.
They are quantities that have magnitude (i.e. amount) and direction, and are represented by arrows, with a length indicating the magnitude, and a direction of course indicating the direction.
The math you can do with vectors is as follows. There's more, but the most important stuff to learn is this:
1. Determining component form. Knowing which trig term is needed to get each of the two components. Look at the extreme cases of angle = 0 degrees, and angle = 90 degrees, and know the general patterns of sine and cosine to determine which trig term to use.
2. Determining magnitude and direction, starting with component form
3. Scalar multiplication
4. Addition. Arrange head-to-tail, and find the shortest path from first tail to last head. Add up corresponding components, if given component form.
5. Subtraction. Like addition, but reverse the direction of one vector first.
6. Dot product. A measure of the product of magnitudes, and how aligned the vectors are. Work is an application of the dot product. It can be calculated by multiplying corresponding components, and adding them up.
7. Cross product. A third vector, perpendicular to both source vectors, equal to the product of their magnitudes and a measure of how crossed (i.e. perpendicular) the vectors are. An application of the cross product, is torque. There is a matrix to set this up, with the unit vector row, and a row for each source vector. Then you follow a procedure of multiplying along positive diagonals and negative diagonals.
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