Question

Enter an expression for the vector sum aƒ— bƒ—?

Answer 1

To find the vector sum aƒ— bƒ—, add the x-components, y-components, and z-components separately.

Step-by-step explanation:

The vector sum of two vectors can be found by adding their respective components. Let's assume the vectors a and b are given in component form as a = axi + ayj + azk and b = bxi + byj + bzk. To find the vector sum aƒ— bƒ—, add the x-components, y-components, and z-components separately:

aƒ— bƒ— = (ax + bx)i + (ay + by)j + (az + bz)k

For example, if a = 3i + 2j - k and b = -4i + 5j + 2k, then the vector sum aƒ— bƒ— is:

aƒ— bƒ— = (3 + (-4))i + (2 + 5)j + (-1 + 2)k = -i + 7j + k