Solving for PS: Adding Vectors PQ and QS in the Given Homework Statement

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In summary, the formula for solving for PS by adding vectors PQ and QS is PS = PQ + QS. The purpose of solving for PS in this homework statement is to find the resultant vector of PQ and QS, which represents the combined effect of both vectors. Vectors PQ and QS can be added in any order to find PS, due to the commutative property of vector addition. The addition of vectors PQ and QS can be graphically represented by drawing them on a coordinate plane and adding them head-to-tail. Other methods for solving for PS include using trigonometric functions and the parallelogram rule.
  • #1
DarkPhoenix
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Homework Statement



PQ = (-2,3) QR = (1,0) RS = (1,-5)

Find PS.

PS = PQ + QS ?
 
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  • #2
No. PS = PQ + QR + RS though.
 
  • #3


To solve for PS, we first need to add the vectors PQ and QS. This can be done by simply adding the corresponding components of each vector. So, PS = (-2+1, 3-5) = (-1,-2). Therefore, the vector PS is (-1,-2).
 

What is the formula for solving for PS by adding vectors PQ and QS?

The formula for solving for PS by adding vectors PQ and QS is PS = PQ + QS. This means that the vector PS is equal to the sum of vectors PQ and QS.

What is the purpose of solving for PS in this homework statement?

The purpose of solving for PS in this homework statement is to find the resultant vector of PQ and QS. This resultant vector represents the combined effect of both PQ and QS.

Can vectors PQ and QS be added in any order to find PS?

Yes, vectors can be added in any order to find the resultant vector. This is known as the commutative property of vector addition.

How can I graphically represent the addition of vectors PQ and QS to find PS?

The addition of vectors PQ and QS can be graphically represented by drawing the vectors on a coordinate plane and adding them head-to-tail. The resulting vector from the tail of the first vector to the head of the last vector is the resultant vector PS.

Are there any other methods for solving for PS besides adding vectors PQ and QS?

Yes, there are other methods for solving for PS. One method is to use trigonometric functions to find the magnitude and direction of the resultant vector. Another method is to use the parallelogram rule, which involves drawing a parallelogram with vectors PQ and QS as adjacent sides and finding the diagonal of the parallelogram, which represents the resultant vector PS.

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