Question

Given two vectors A = 4î + ị and B = 3î – then the x_component of the vectors A + B is:

a) 7î + ị
b) 1î + ị
c) 4î – ị
d) 7î – ị

Answer 1

The x-component of the sum of vectors A = 4î + ĵ and B = 3î - ĵ is 7î, which is obtained by adding the x-components of A and B.

Step-by-step explanation:

The student is asking about the combination of two vectors A and B, specifically about the x-component of their sum. To find this, we add the corresponding components of vectors A and B. Vector A is 4î + ĵ and vector B is 3î - ĵ. The x-components are 4 and 3 respectively, so adding these gives us 7î as the x-component of the vector sum A + B. Therefore, the correct answer is 7î without any additional components since the question asks specifically for the x-component.