Find the unit vector in the direction of (4,-4). Write your answer in component form. Do not approximate any numbers in your answer.

Step-by-step explanation:

The unit vector for a nonzero vector, say u, in the direction of u is given by:

û =             ---------------(i)

Where;

|u| = magnitude of vector u

From the question;

u = (4, -4)

First let's calculate the magnitude of u as follows;

|u| =

|u| =

|u| = =

Now, substitute u and |u| into equation (i) as follows;

û =

û =

û =

Therefore, the unit vector is

step-by-step explanation:

a cube has 6 sides

the probability of getting 5 on the first cube is 1/6 since only one side of the cube has 5 on it.

there are 3 sides of the cube with even number on it [2,4,6]

therefore the probability of getting even number is 3/6

for both events to happen together, the probability would be

1/6 x 3/6 = 12/36

which simplifies to 1/12

answer: 3 x 2 = 6 and 6+0

step-by-step explanation: sum equals addition and twice is multiplication so its

3 x 2 = 6

6+0= 6

identity property of zero