## Calculus 3 – Intro To Vectors

This calculus 3 video tutorial provides a basic introduction into vectors. It contains plenty of examples and practice problems.

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Here is a list of topics:

1. Scalar quantities vs vector quantities

2. Speed vs velocity

3. Vectors as directed line segments

4. How to find the vector given the initial point and terminal point

5. How to find the find the component form of a vector

6. How to calculate the magnitude of a vector using its components

7. How to determine if two vectors are equivalent

8. Adding and subtracting vectors graphically

9. Performing vector operations

10. Position vectors and unit vectors

11. How to find the unit vector given the components of a vector

12. Standard unit vectors – i j k

13. Linear combination of standard unit vectors

14. How to find the components of a vector given its magnitude and angle

15. How to find the magnitude and angle of a vector in component form

16. How to calculate the resultant force of two vectors

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algebra tutors,calculus 3,vectors

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https://youtu.be/MgDKj74mBs8

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Late ik, but why does he say (3,4) is 3y and x4, when it is 3x and y4? I was always taught "you crawl before you walk" not the other way around lol. Prob an honest mistake but just wanted to point it out. 8:50

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just go clarify, @ 51:22 the magnitude is supposed to be sqr(73) and not 73 right?

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At 47:40 wouldnt that be a magnitude of Root 73? Just confused otherwise great lecture!

51:20 – for θ with O = 8, A = 3, but H = 73 ? it must be sqrt thereof.

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30:21

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At around 51:48, in the third quadrant, I think theta= theta_R + 180, rather than theta= theta_R -180. Am I right?

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This is the first thing we're covering in calc 2. Is this normally a calc 3 thing?

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51:45 Q3= theta R + 180