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

1 Answer
Jul 1, 2016

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.