Question

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

Answer 1

Given

The two vectors

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

To find

Magnitude of P

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

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

Conclusion

The magnitude of P is 2.91.