Given u = [2,5] and v = [6,4], determing u (down arrow) v
This isnt a full question
Thats all it says.
it says Determine, not determing. sorry
not sure what u↓v means. care to explain?
If so, then you probably won't have too much trouble with the exercise, eh?
To find the dot product of two vectors u and v, you need to multiply their corresponding coordinates and then sum the results.
Given u = [2, 5] and v = [6, 4], we will calculate their dot product.
To calculate the dot product, you can use the following formula:
u • v = u1 * v1 + u2 * v2
where u1 and v1 are the x-components (or first elements) of the vectors u and v, and u2 and v2 are the y-components (or second elements) of the vectors u and v.
Plugging in the values from the given vectors:
u • v = (2 * 6) + (5 * 4)
Simplifying further:
u • v = 12 + 20
u • v = 32
Therefore, the dot product of u and v is 32.