1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
katrin2010 [14]
9 months ago
9

The initial and terminal points of a vector are given. Write the vector as a linear combination of the standard unit vectors i a

nd j.Initial Point Terminal Point(-7, 1) (9, -3)
Mathematics
1 answer:
gtnhenbr [62]9 months ago
8 0
U=16i-4j

Explanation

any vector in the plane can be writen as a linear combination of the 2 standar unit vectors

\begin{gathered} i=\langle1,0\rangle\text{   j=}\langle0,1\rangle \\ as\text{ follows} \\ V=\langle a,b\rangle=a\langle1,0\rangle+b\langle0,1\rangle=ai+bj \end{gathered}

hence

Step 1

component form

\begin{gathered} U=\text{ terminal point -initial point} \\ U=(9-(-7),(-3-1)=\langle16,-4\rangle \end{gathered}

now, as a linear combination

U=16i-4j

I hope this helps you

You might be interested in
FRUIT
laiz [17]
2p+6a=$14
3p+9a=$21

3p+9a=21
Subtract 9a
3p=21-9a
divide all by 3
p=7-3a
plug it into start equations

2p+6a=14
2(7-3a)+6a=14
14-6a....+6a=14

this zeroes out...
5 0
2 years ago
Marie is purchasing a $108,000 home with a 30 year ortgage at 5.25%. What is her monthly principal and interest payment
schepotkina [342]

Answer:

Monthly interest rate is r=0,004375

Monthly principal c=590,625

Step-by-step explanation:

Monthly interest payment rate :

r=\frac{5.25}{12}:100=0,0004375

Now, we need to find monthly principal payment : c=\frac{rP}{1-(1+r)^{-N}}

Use this rule : N=30*12=360

P=108000

r=0,004375

c=\frac{0.004375*108000}{1-(1+0.004375)^{-360}} =\frac{472.5}{0.8}=590,625

5 0
3 years ago
Read 2 more answers
Categorize each of the following equations as a linear equation in one variable or not.
prohojiy [21]

2x + 6 = 5
5x – 9 = 8x – 4
5x = 2y – 8
6b + 4 = 2
6 + 4 = 10
6 0
3 years ago
If Pablo invest $4,200 for 3 years and earn $630 what is the simple interest rate
Mariana [72]
The interest rate would be 5%
6 0
3 years ago
If 7m = 35, then 7m + 4 = 35 + 4<br> NAME THE PROPERTY
Reptile [31]

The property that is applied in 7m+4=35+4 is addition property of equality

Given :

If \; 7m=35, then \; 7m+4=35+4

From the above equation we can see that 4 is added at the both sides of the equation .

we can add same number at the both sides of the equation to balance the equation . That is called as addition property of equality

Here , 4 is added on both sides of the equality to balance the equation .

So , addition property of equality is applied .

Learn more : brainly.com/question/24214650

6 0
3 years ago
Other questions:
  • Movie Ticket Sales : 6x + 9y = 1,500 Which graph shows this relationship?
    15·2 answers
  • NEED ANSWERS PLEASE!!
    10·1 answer
  • Your town gets between 8 and 12 inches of snow each month from December to February. Estimate how much snow your town should get
    15·2 answers
  • Which type of graph would allow us to Quickly see how many months between 100 and 200 student were treated
    14·1 answer
  • From a point 114 m away from a building, Serena measures the angle between the
    8·1 answer
  • What’s 17 * 17 * 17 , What’s 4 * 4 * 4 * 4 * 4 AS A EXPONET
    5·2 answers
  • Which is shorter? 3/6 of a minute or 2/6 of an hour?
    12·1 answer
  • Can I get help on this one
    14·2 answers
  • Five pounds of cherries cost $14.95. Write and solve an equation to determine how much each pound of cherries costs.
    12·2 answers
  • Whats the answer can u help me please
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!