Question

Two vectors added using the tip to tail method. There is a 13 meter vector east added to a 5 meter vector north in a right triangle. The hypotenuse is a dashed arrow labeled R. What is the magnitude of the resultant vector? Round your answer to the nearest tenth.

a) 14.4 meters
b) 13.0 meters
c) 12.1 meters
d) 11.7 meters

Answer 1

The magnitude of the resultant vector can be found using the Pythagorean theorem. In this case, the resultant vector has a magnitude of approximately 13.9 meters. Therefore, the correct answer is option a) 14.4 meters.

Step-by-step explanation:

The magnitude of the resultant vector can be found using the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. In this case, the 13 meter vector east and the 5 meter vector north form a right triangle. The hypotenuse, which is the resultant vector, can be found by calculating:

R = √(13^2 + 5^2) = √(169 + 25) = √194 ≈ 13.9 meters.

Rounding to the nearest tenth gives us an answer of approximately 13.9 meters. Therefore, the correct option is a) 14.4 meters.