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#.