01 - Calculating Magnitude of a Vector & Direction, Part 1 (Vector Magnitude & Angle)

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Learn how to find the magnitude of a vector given its x and y components. This is done by using the pythagorean theorem to find the length of the vector by squaring the sides of the vector components and taking the square root of the result.
The angle that the vector makes with the x-axis (the direction of the vector) is found by taking the inverse tangent of the y component divided by its x-component.

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[@kenmichaels1842]

This was excellent! And I followed the math perfectly. But, what if one of the F values, say 12, was positive x at 45 degrees and another, say 18, was at 180 degrees. How do I express that angle? I was messing around with it and can’t seem to get an answer that matches my graph. Thanks, again!

[@mufakkirhussain2816]

It would be 138.3 degree from x-axis. and its magnitude is 12.75 and its x-component is -9.52 and y-component is 8.48 with an angle of 41.7 degree. if you want further explanation you can contact me through e-mail : [e-mail]

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[@leejohnson197733]

this is really helpful, but i am not quite getting to grips with 15 angle (5pi/8) how do you work these out if radians is being used ?

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[@raceman1008]

why is angle theta equal to the inverse tangent. I get that tan theta is opp/adj, but why do we use the inverse to find angle theta?

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[@malihasultana817]

Can I use the R=√P^2+Q^2+2PQcostheta formula here?

[@miguelarcanjo5786]

Hi teacher, good after noon!!!! I have a question, can use the equation from Pitágoras, at vectors?

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Where is the next video to this?

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Which are uses of vector in physics.

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[@clar331]

so the correct answer is +45 degrees and not 135 ,correct? at 20:14

[@MathAndScience]

Not really. The "correct answer" can be expressed in two ways. It is 135 degrees measured counter clockwise from the positive x-axis, OR it is 45 degrees from the negative x-axis measured clockwise. It gets confusing and that is why you must draw a picture.

[@clar331]

@@MathAndScience makes sense, thank you for your fast reply 😃

[@MathAndScience]

@@clar331 Welcome!

[@mattamatt5664]

I can't find part 2

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Awesome

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I am 15 in India and we have vectors from 11 th grade but we can't use calculators 😭😭😭

[@movierecap8355]

Sorry sir, but how do you which angle points to the opposite. Because In the second example. We have two angles, the one making 90 degrees and the other we are supposed to calculate. Please help me know how to see which side is the opposite.

[@pocentermumba2402]

Thank u very much

[@prettybae213]

part 2?

[@hootypixel8637]

you could say the calculator will gave you the absolute value of the angle.

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N stands for "units"?

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No it stands for newton's

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@@bonangjacobs6510 which is a unit.

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[@sabanazirviiie189]

Thanks 👍 very much now I understood how to solve my problem by step by step.

[@abdulrahmanameen1131]

ok what s the vector?