Solved on Nov 25, 2023

Given a vector from (4,1) to (5,5), express the vector in component form. Assume each grid box is 1x1 unit.

STEP 1

Assumptions1. The starting point of the vector is (4,1) . The ending point of the vector is (5,5)
3. Each box in the graph is1 unit by1 unit in size

STEP 2

The component form of a vector is given by the difference in the x-coordinates and the difference in the y-coordinates of the ending and starting points. This can be written asVector=(xendxstart,yendystart)Vector = (x_{end} - x_{start}, y_{end} - y_{start})

STEP 3

Now, plug in the given values for the starting and ending points to calculate the vector in component form.
Vector=(5,51)Vector = (5 -,5 -1)

STEP 4

Calculate the difference in the x-coordinates and the y-coordinates.
Vector=(1,4)Vector = (1,4)The vector in component form is (1,4).

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