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
Andru [333]
3 years ago
13

The vectors x and y are unit vectors that make and angle of 30 degrees with each other. Calculate the value of | 2x + y | and th

e direction of 2x + y
Mathematics
1 answer:
ICE Princess25 [194]3 years ago
5 0

Answer: the value of | 2x + y | = 1.39

the direction of 2x + y = 21° 

Step-by-step explanation:

Given that the vectors x and y are unit vectors that make and angle of 30 degrees with each other.

Let assume that unit vector x is along the positive x-axis, and unit vector y is at +30°.

Therefore 

2x-y=

2< 1,0 > - < cos(30),sin(30) >

=<2-(√2)/2, 0-1/2>

and

|2x-y|=√((2-(√2)/2)² + (-1/2)^2)

=1.3862 

Therefore the value of | 2x + y | = 1.39

=atan((-1/2)÷(2-(√2)/2))

=atan(1.29289/-0.5)

=-0.369 radians

= -21.143° 

Therefore the direction of 2x + y is

21° 

You might be interested in
For thanksgiving, you made 32 cupcakes. How many cupcakes were leftover if your family ate 3/4 of them?
Anvisha [2.4K]
All you need to do is divide 32 by 4.

32/4= 8

So, 3*8= 24 (that is 3/4 of the cupcakes)

32-24= 8

8 is the answer.

I hope this helps!

Brainliest answer is always appreciated! 
4 0
3 years ago
Read 2 more answers
1) (3.1 x 10^1)(4.3 x 10^-6)​
allsm [11]

Answer:0.0001333

Step-by-step explanations :

8 0
3 years ago
HELP NEED ASAP FOR TOMORROW ITS FOR MY HOMEWORK!! ILL MARK BRAINLIEST IF RIGHT!!​
Slav-nsk [51]

Answer:

  y ≥ -x +2

Step-by-step explanation:

The solid line has a slope of -1 and a y-intercept of 2, so its equation in slope-intercept form is ...

  y = -x +2

The shaded area is above this line, and the line is part of the solution set, so we want an inequality that has "y" and the comparison symbol in this order: "y ≥" or "≤ y".

We already have an equation with "y" on the left, above, so we just need to introduce the comparison symbol:

  y ≥ -x +2

Another way to write this is ...

  x + y ≥ 2

4 0
3 years ago
You go out to dinner with 2 friends. The bill was $35.60, and you
const2013 [10]

Answer:

$14.24

Step-by-step explanation:

5 0
2 years ago
How to calculate this question?
Degger [83]

Answer:

if you use perimeter area you can get answer

8 0
3 years ago
Other questions:
  • Which are the solutions of x2 = –7x – 8?
    9·2 answers
  • What is partial derivative of z=(2x+3y)^10 with respect to x,y?
    10·2 answers
  • How to multiply fractions with a mixed number?
    10·1 answer
  • Order from least to greatest 3/6,3/4,2/8
    6·1 answer
  • The corners of a triangle are (2,1), (4,4), and (6,2). Which system of inequalities describes the interior of the triangle?
    15·1 answer
  • Mr. small has 5 crates of oranges which total of 182 1/2 lb. each crate contains an equal weight and no crate can exceed 35 lbs.
    11·1 answer
  • A car is traveling at -40 miles per hour. What will their position be after 3 hours?
    11·1 answer
  • A directed line segment AB with A (1,3) and B (8,4) is partitioned by point C such that AC and CB form a 4:1 ratio. Find C
    6·1 answer
  • Can someone please help me i dont understand this at all and no one in my family knows this stuff
    15·2 answers
  • In a triangle XYZ, x = 24 cm, y = 19 cm and YXZ = 62o. The magnitude of XYZ..
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!