Write unit vector in the direction of the sum of vectors: a = 2i - j + 2k and b = -i + j + 3k

Add the vectors a = 2i - j + 2k and b = -i + j + 3k by writing them in the component form that is a = <2, -1, 2> and b = <-1, 1, 3> Then the sum of the vectors can be computed as follows:
a + b = <2 -1, -1 + 1, 2 + 3> = <1, 0, 5>
Therefore, the sum of the vectors is <1, 0, 5>.
Now the unit vector can be obtained as:
||a + b|| = √(1)² + (0)² + (5)² = √1 + 25 = √26
Unit Vector: <1/√26, 0, 5/√26>