Question

How are the magnitude and direction of the resultant of vector addition derived using the laws of vector addition?

a) By taking the arithmetic mean of the vector components
b) By applying the Pythagorean theorem to the vector components
c) By subtracting the smaller vector from the larger vector
d) By finding the cross product of the vectors

Answer 1

The magnitude and direction of the resultant of vector addition can be derived using the analytical method, which involves using the Pythagorean theorem and trigonometric identities.

Step-by-step explanation:

The magnitude and direction of the resultant of vector addition can be derived using the analytical method, which involves using the Pythagorean theorem and trigonometric identities. To find the magnitude of the resultant vector, we use the Pythagorean theorem, which states that the square of the magnitude of the resultant vector is equal to the sum of the squares of the magnitudes of the individual vectors. To find the direction of the resultant vector, we can use trigonometric identities to determine the angle between the resultant vector and a reference axis.