Brainliest if correct!<br>i need help w this. need it by wednesday

A group of hikers walks 3 miles east and then 1 mile north. After taking a break, they then hike 4 miles east to their final des

geniusboy [140]

Answer:

The vector that describes their hike from their starting position to their final destination is $\vec r = 7\,\hat{i}+1\,\hat{j}\,\,\,[mi]$ .

Step-by-step explanation:

In this problem we assume that orthogonal axes coincide with the north and east. We proceed to translate each sentence from statement into vectorial equations:

(i) <em>A group of hikers walks 3 miles east and then 1 mile north:</em>

$\vec r_{A} = 3\,\hat{i}+1\,\hat{j}\,\,\,[mi]$

(ii) <em>After taking a break, they then hike 4 miles east to their final destination:</em>

$\vec r_{B} = 4\,\hat{i}\,\,\,[mi]$

The vector that describes their hike from their starting position to their final destination is the sum of the vectors deducted above. That is:

$\vec r = \vec r_{A}+\vec r_{B}$ (1)

$\vec r = (3\,\hat{i}+1\,\hat{j})+4\,\hat{i}\,\,\,[mi]$

$\vec r = 7\,\hat{i}+1\,\hat{j}\,\,\,[mi]$

The vector that describes their hike from their starting position to their final destination is $\vec r = 7\,\hat{i}+1\,\hat{j}\,\,\,[mi]$ .

6 0

3 years ago

If 80% of the students in your class like sports, how many students are in your class if 16 students like sports?

Rudik [331]

Answer: 20 students

Step-by-step explanation:

i beieve this is the answer dont be mad if its not

8 0

3 years ago

Read 2 more answers

For which points is the y coordinate less that -1.5

Masja [62]

The bottom 2.

I can’t see the point names cause its blurry but those bottom 2 points should be the answers.

Y coordinates are how high or low
X coordinates are how far left or right

Brainliest if this helps?

3 0

3 years ago

Which graph does not represent

natka813 [3]

I think that it is c

3 0

4 years ago

Let x = a bi and y = c di and z = f gi which statements are true? check all of the boxes that apply. x y = y x (x × y) × z = x ×

Alex73 [517]

A complex number is a part of a number system that includes a real unit and an imaginary unit. All the statements are true except C and E.

<h3>What is a Complex Number?</h3>

A complex number is a part of a number system that includes the real numbers as well as a particular element labelled i, sometimes known as the imaginary unit, and which obeys the equation i² = 1.

As it is given that x=(a+bi), y=(c+di), and z=(f+gi), therefore, we need to plug in the values to check which all are true.

A.) x+y=y+x

$x+y=y+x\\a+bi+c+di=c+di+a+bi$

As the two sides of the equation are equal, the equation is true.

B.) (x × y) × z = x × (y × z)

$(x \times y) \times z = x \times (y \times z)\\\\\ [ (a+bi) \times (c+di) ]\times (f+gi) = (a+bi) \times [(c+di) \times (f+gi)]\\\\(ac+adi+bci-bd) \times (f+gi)= (a+bi) \times (cf+cgi+fdi-dg)$

$(ac+adi+bci-bd) \times (f+gi)= (a+bi) \times (cf+cgi+fdi-dg)\\\\\\acf+adfi+bcfi-bdf+acgi-adg-bcg-bdgi = acf+acgi+afdi-adg + bcfi-bcg-bfd-bdgi$

As the two sides of the equation are equal, the equation is true.

C.) x−y=y−x

$x-y=y-x\\\\(a+bi)-(c+di)=(c+di)-(a+bi)\\\\a+bi-c-di=c+di-a-bi$

As the two sides of the equation are not equal, the equation is not true.

D.) (x+y)+z=x+(y+z)

$(x+y)+z=x+(y+z)\\\\(a+bi+c+di)+f+gi = a+bi+(c+di+f+gi)\\\\a+bi+c+di+f+gi = a+bi+c+di+f+gi$

As the two sides of the equation are equal, the equation is true.

E.) (x−y)−z=x−(y−z)

$(x-y)-z=x-(y-z)\\\\(a+bi-c-di)-f-gi = a+bi-(c+di-f-gi)\\\\a+bi-c-di-f-gi =a+bi-c-di+f+gi)$

As the two sides of the equation are not equal, the equation is not true.

Hence, all the statements are true except C and E.

Learn more about Complex Number:

brainly.com/question/12464608

6 0

2 years ago

Brainliest if correct!i need help w this. need it by wednesday