Question

Below is a red vector of magnitude 91 and a blue vector of magnitude 29. What is the magnitude of the sum of the two vectors?

Answer 1

The magnitude of the sum of two vectors can be found using the Pythagorean theorem. In this case, the red vector has a magnitude of 91 and the blue vector has a magnitude of 29. The magnitude of the sum of the two vectors is approximately 95.5.

Step-by-step explanation:

The magnitude of the sum of two vectors can be found using the Pythagorean theorem. In this case, the red vector has a magnitude of 91 and the blue vector has a magnitude of 29. To find the magnitude of the sum, we square each vector's magnitude, add those squares together, and then take the square root of the sum.

Let's calculate it:

|Vec R| = sqrt(91^2 + 29^2) = sqrt(8281 + 841) = sqrt(9122) ≈ 95.5

Therefore, the magnitude of the sum of the two vectors is approximately 95.5.