Question

The x-component of the resultant of several vectors
(a) is equal to the sum of the x-components of the vectors of the vectors
(b) may be smaller than the sum of the magnitudes of the vectors
(c) may be greater than the sum of the magnitudes of the vectors
(d) may be equal to the sum of the magnitudes of the vectors.

Answer 1

(a) is equal to the sum of the x-components of the vectors (b) may be smaller than the sum of the magnitudes the vectors (d) may be equal to the sum of the magnitudes of the vectors. Explanation: The x-component of the resultant of several vectors cannot be greater than the sum of the magnitudes of the vectors.

Answer 2

The x-component of the resultant of several vectors, Then (a) is equal to the sum of the x-components of the vectors of the vectors  (b) may be smaller than the sum of the magnitudes of the vectors and (d) may be equal to the sum of the magnitudes of the vectors.

Explanation:

• The magnitude of the two vectors product A  and B may be fewer than AB, equal to zero and equal to AB, but they cannot be more than AB. So, the right answer is option A.
• There are two defined types of vector multiplications, which are vector product and the scalar product.
• The two vectors A and B have the scalar product, which is equal to the product of the smallest angle’s cosine and the vectors’ magnitudes. So, it might be zero or smaller or zero.  

Therefore the correct answer is Option (a) (b) and (d)