Final answer:
To find the sum of vectors A, B, and C, break them down into their x and y components and add the components separately. Assuming vector B is 2 units northeast, the sum of vectors A, B, and C is approximately 9.65 units east and 5.65 units north.
Step-by-step explanation:
To find the sum of vectors A, B, and C, we need to add them together. Vector A is 4 units east, vector C is 6 units northeast (45° east of north), and vector B is not provided. To add vectors, we can break them down into their x and y components and add the components separately. Let's assume vector B is 2 units northeast. The x component of A is 4 units and the x component of C is 6 units * cos(45°), which is approximately 4.24 units. The x component of B would be 2 units * cos(45°), which is approximately 1.41 units. The y components of A, C, and B would be 0 units, 6 units * sin(45°), which is approximately 4.24 units, and 2 units * sin(45°), which is approximately 1.41 units, respectively.
To find the sum of the x components, we add the x components of A, C, and B. 4 + 4.24 + 1.41 = 9.65 units. To find the sum of the y components, we add the y components of A, C, and B. 0 + 4.24 + 1.41 = 5.65 units.
Therefore, the sum of vectors A, B, and C is approximately 9.65 units east and 5.65 units north.