Final answer:
To find the length of vector B so that the magnitude of their vector sum is 5.00, we can use the Pythagorean theorem. The length of vector B should be approximately 4.90.
Step-by-step explanation:
To find the length of vector B so that the magnitude of their vector sum is 5.00, we can use the Pythagorean theorem. Since vectors A and B are at right angles to each other, their vector sum is the hypotenuse of a right triangle formed by A, B, and the resultant vector. The magnitude of A is 1.00 and the magnitude of the resultant vector is 5.00. Using the Pythagorean theorem, we can find the magnitude of B:
B = sqrt((Resultant)^2 - (A)^2) = sqrt(5.00^2 - 1.00^2) = sqrt(24) = 4.90
Therefore, the length of vector B should be approximately 4.90.