Addition and Subtraction Of Vectors

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Addition and Subtraction of Vectors

Geometrical method

To find a + b , shift vector b such that its initial point coincides with the terminal point of vector a. Now, the vector whose initial point coincides with the initial point of vector a , and terminal point coincides with the terminal point of vector b represents (a +b ) as shown in the above figure.

To find (b +a ), shift a such that its initial point coincides with the terminal point b . A vector whose initial point coincides with the initial point of b and terminal point coincides with the terminal point of a represents (b +a ).




Law of Parallelogram of Vectors

The addition of two vectors may also be understood by the law of parallelogram.

According to this law if two vectors P and Q are represented by two adjacent sides of a parallelogram both pointing outwards as shown in the figure below , then the diagonal drawn through the intersection of the two vectors represents the resultant (i.e. vector sum of P and Q). If Q is displacement from position AD to BC by displacing it parallel to itself, this method becomes equivalent to the triangle method.




In case of addition of two vectors by parallelogram method as shown in figure, the magnitude of resultant will be given by, (AC)2 = (AE)2 + (EC)2 or R2 = (P + Q cos θ)2 (Q sin θ)2

Category:

Education

Tags:

• Addition
• and
• Subtraction
• Of
• Vectors

[ximiliuos]

wector..:P

jk...gd job

[flare765]

"6 minutes later"- spongebob voice

[ajaber89]

thank you very much, great explanation!!

[radioheadfan235]

hahahah at wector!

[JustmeKasie]

dont teach in robot voice!!!! the graphics were good tho :)

[hifatpeople]

voice was too boring and educated to put up with, i muted and didn't learn anything.

[JulianNickoloffMusic]

lmao ahah



[bebeno89]

apply law of sines to find the angle ^^

[bobuae]

@Nnoshah

Nerd -____- , I didnt understand any thing

[Nnoshah]

Thanks very much for the great explanation

=]