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on June 13, 2020
Addition of vectors
Resultant of vectors
When two or more vectors are added to produce only one vector, the result of the vectors is called the Resultant of the vectors.
Example
What is the resultant of vector A and B ( in fig 1 above) acting :
- In the same direction
- Opposite direction
- Both at an angle N60E to each other
What will be the resultant if A ACTS TOWARD WEST and B at N30E ?
Take A=20N and B = 30N
SOLUTIION
1.
See fig 1& 2 above
The resultant of two vectors acting in the same direction is the sum of the magnitude of the vectors and the resultant direction is the direction of the two vectors. See fig1
R = A+B = 20+30 =50N alond same direction with Aand B
ii
The resultant of two vectors acting in the opposite direction is the difference in the magnitude of the vectors and the resultant direction is the direction of the vector with larger magnitude. See fig 2
R=B-A in the direction of B
R= 30-20 =10N along B
EQUAL VECTORS
Same direction
If A=B then R=A+B along A and B
Opposite direction
If A=B then R=0 and the system will be in equilibrium
iii solution see parallelogram law of vector for solution to question iii
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