Final answer:
The sum of the vectors a = 3i + 3j - 2k, b = -i - 4j + 2k, and c = 2i + 2j + k is 4i + j + k.
Step-by-step explanation:
The question involves finding the sum of three vectors a, b, and c. To find the sum of vectors, we add their respective components along the i, j, and k axes.
Let's break it down:
Vector a has components 3i, 3j, and -2k.
Vector b has components -1i, -4j, and 2k.
Vector c has components 2i, 2j, and 1k.
To find the sum, we add together the components along each axis:
i components: 3 - 1 + 2 = 4
j components: 3 - 4 + 2 = 1
k components: -2 + 2 + 1 = 1
So, the sum of the vectors a + b + c is 4i + j + k.
Three vectors are given by a = 3i + 3j - 2k, b = -I - 4j + 2k, and c = 2i + 2j + k. Find sum of these vectors.