Use the information from part A to find the magnitude of the vector Modifying above upper P upper Q with right arrow plus 3 Modifying above upper R upper S with right arrow.

Question

(1 point)
Responses

356
356

start root 26 end root
Image with alt text: start root 26 end root

2 start root 10 end root
Image with alt text: 2 start root 10 end root

2 start root 89 end root

Answer 1

The magnitude of the vector PQ is 5, and the magnitude of the vector RS is 3.

Using the Pythagorean theorem, we can calculate the magnitude of the resultant vector:

Magnitude = sqrt(5^2 + 3^2)
Magnitude = sqrt(25 + 9)
Magnitude = sqrt(34)

Therefore, the magnitude of the vector PQ + 3RS is approximately 5.83.