Given vector (mathbf{a} = [3, 2, 1]) and vector (mathbf{b} = [1, 4, 2]), find the sum of these two vectors (mathbf{a} + mathbf{b}).

Question

Accepted Answer

Step:1 ：The addition of two vectors is performed component-wise. So, we add the corresponding components of vectors (mathbf{a}) and (mathbf{b}) to get the vector (mathbf{a} + mathbf{b}).Step:2 ：The first component of (mathbf{a} + mathbf{b}) is (3 + 1 = 4).Step:3 ：The second component of (mathbf{a} + mathbf{b}) is (2 + 4 = 6).Step:4 ：The third component of (mathbf{a} + mathbf{b}) is (1 + 2 = 3).Step:5 ：Therefore, the vector (mathbf{a} + mathbf{b}) is ([4, 6, 3]).

Answer

Step: 1 ：The addition of two vectors is performed component-wise. So, we add the corresponding components of vectors (mathbf{a}) and (mathbf{b}) to get the vector (mathbf{a} + mathbf{b}).Step: 2 ：The first component of (mathbf{a} + mathbf{b}) is (3 + 1 = 4).Step: 3 ：The second component of (mathbf{a} + mathbf{b}) is (2 + 4 = 6).Step: 4 ：The third component of (mathbf{a} + mathbf{b}) is (1 + 2 = 3).Step: 5 ：Therefore, the vector (mathbf{a} + mathbf{b}) is ([4, 6, 3]).

Given vector \(\mathbf{a} = [3, 2, 1]\) and vector \(\mathbf{b} = [1, 4, 2]\), find the sum of these two vectors \(\mathbf{a} + \mathbf{b}\).

Answer

Popular Problems