Final answer:
The magnitude of vector C can be found using the Pythagorean theorem to calculate the sum of the squares of the magnitudes of vectors A and B.Hence options a), d), and e) are true about the magnitude of vector C.
Step-by-step explanation:
The magnitude of vector C, which is defined as the sum of vectors A and B, can be found using the Pythagorean theorem. The Pythagorean theorem states that the square of the magnitude of the resultant vector (C) is equal to the sum of the squares of the magnitudes of the two vectors being added (A and B).
Therefore, the correct equations for finding the magnitude of C are:
a) Cₘ = (Aₘ² + Bₘ²)¹⁄µ2 (taking the square root of both sides)
d) Cₙ = 0 (the magnitude of C will only be zero if both vectors A and B have magnitudes of zero)
e) Cₙ = (Aₘ² + Bₘ²)¹⁄µ2 (taking the square root of both sides)
f) Cₘ = ∫ (sum of magnitudes) of A and B (this is true when both vectors have the same direction and magnitude)
Therefore, options a), d), and e) are true about the magnitude of vector C.