Question

Given Vector A: 14.1i + 5.1j and Vector B: 15.0i + 26.0j. How do you add and subtract these two vectors?

Answer 1

`vecA+vecB=29.1i+31.1j`

`vecA-vecB=-0.9i-20.9j`.

Explanation:

Let Vector A be denoted by `vecA` and suppose that `vecA=a_1i+a_2j`.

Suppose, `vecB=b_1i+b_2j`.

Then, by defn. of Vector Addition, `vecA+vecB=(a_1+b_1)i+(a_2+b_2)j`.

Similarly, `vecA-vecB=(a_1-b_1)i+(a_2-b_2)j`.

Therefore, in our case, `vecA+vecB=29.1i+31.1j` and, `vecA-vecB=-0.9i-20.9j`.