To find the vector ab, we need to subtract vector a from vector b. In vector notation, this can be expressed as:
ab = b – a
Given that:
- a = 8i + 6j
- b = 4i + 5j
Now, we can substitute the values of a and b into the equation:
ab = (4i + 5j) – (8i + 6j)
Next, we perform the subtraction for the i (horizontal) and j (vertical) components separately:
- For the i component: 4i – 8i = -4i
- For the j component: 5j – 6j = -1j
Putting it all together, we get:
ab = -4i – 1j
So, the vector ab is -4i – 1j. This result tells us the direction and magnitude of the vector from point a to point b.