Find the vectors.sum of ihe three vectors A=-3i-2j+7k, B=i+3j+k, C=-k
Add the i's, j's and k's separately.
A + B + C = -2i +j +7k
To find the vector sum of three vectors A, B, and C, we need to add the corresponding components of each vector.
First, let's write down the given vectors:
A = -3i - 2j + 7k
B = i + 3j + k
C = -k
To find the vector sum, we add the corresponding components of each vector:
For the x-component (i):
A_x = -3
B_x = 1
C_x = 0
Adding the x-components: -3 + 1 + 0 = -2
So, the x-component of the vector sum is -2i.
For the y-component (j):
A_y = -2
B_y = 3
C_y = 0
Adding the y-components: -2 + 3 + 0 = 1
So, the y-component of the vector sum is j.
For the z-component (k):
A_z = 7
B_z = 1
C_z = -1
Adding the z-components: 7 + 1 + (-1) = 7
So, the z-component of the vector sum is 7k.
Therefore, the vector sum of A, B, and C is:
A + B + C = -2i + j + 7k.