A vector of magnitude 20 is added to a vector of magnitude 25. The magnitude of this sum might be:

Explanation

The magnitude of the sum of two vectors can be determined using the triangle law of vector addition. This law states that if two vectors are represented as sides of a triangle, then the sum of the two vectors can be represented by the third side of the triangle.In this case, if a vector of magnitude 20 is added to a vector of magnitude 25, the magnitude of the sum could be anywhere between ∣20−25∣=5 (if the two vectors are in opposite directions) and 20+25=45 (if the two vectors are in the same direction).Out of the given options, the closest one to the potential range of magnitudes is: 45However, it's important to note that the exact magnitude of the sum will depend on the relative directions of the two vectors. The magnitude will be smaller if they are opposing and larger if they are aligned.