Answer:
To find the magnitude of the sum of two vectors, we can use the formula:
|A + B| = √(A^2 + B^2 + 2ABcosθ)
where A and B are the magnitudes of the two vectors, and θ is the angle between them.
Given:
A = 10 cm
B = 7 cm
θ = 90 degrees
Plugging the values into the formula:
|A + B| = √(10^2 + 7^2 + 2(10)(7)cos(90))
Simplifying:
|A + B| = √(100 + 49 + 140cos(90))
|A + B| = √(100 + 49 + 0)
|A + B| = √149
Therefore, the magnitude of the sum of the two vectors is √149 cm.
Step-by-step explanation: