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P is the sum of two vectors, D= -3.0i + 7.0j F= 5.5i- 8.5j. What is the magnitude of P?

User Siva Kiran
by
7.1k points

1 Answer

1 vote

Given

The two vectors

D= -3.0i + 7.0j , F= 5.5i- 8.5j.

To find

Magnitude of P

Step-by-step explanation

P is the sum of two vectors.

Thus,


\begin{gathered} P=D+F \\ \Rightarrow P=-3.0i+7.0j+5.5i-8.5j \\ \Rightarrow P=2.5i-1.5j \end{gathered}

Its magnitude is


\begin{gathered} |P|=√((2.5)^2+(1.5)^2) \\ \Rightarrow|P|=2.91 \end{gathered}

Conclusion

The magnitude of P is 2.91.

User Gaara
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6.9k points