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
Hatshy [7]
3 years ago
8

Two vectors, in three dimensions, are given in Cartesian coordinates as :

Physics
1 answer:
DedPeter [7]3 years ago
6 0

The angle between the two vectors is 0.365 rad

Explanation:

The angle between two 3-D vectors can be found by using the following relationship:

a\cdot b = |a||b|cos \theta

where

a\cdot b is the scalar product between the two vectors

|a| is the magnitude of vector a

|b| is the magnitude of vector b

\theta is the angle between the two vectors

The two vectors in this problem are

a = (8,8,9)

b = (4,9,5)

So their scalar product is

a\cdot b = 8\cdot 4 + 8\cdot 9 + 9\cdot 5=32+72+45=149

The magnitude of a is

|a|=\sqrt{8^2+8^2+9^2}=\sqrt{64+64+81}=14.5

The magnitude of b is

|b|=\sqrt{4^2+9^2+5^2}=\sqrt{16+81+25}=11.0

So now we can re-arrange the equation to find the angle between the two vectors:

cos \theta = \frac{a\cdot b}{|a||b|}=\frac{149}{(14.5)(11.0)}=0.934\\\theta=cos^{-1}(0.934)=0.365 rad

Learn more about operations with vectors:

brainly.com/question/2927458

brainly.com/question/2088577

brainly.com/question/1592430

#LearnwithBrainly

You might be interested in
The distance from earth to teh sun usb approxximately 93 million miles. a scientist would write that number as
erastova [34]

A scientist would write that number as 1.49 x 10⁸ kilometers .

(Or, if the scientist is in France or the UK, he might write it as  1.49 x 10⁸ kilometres .)

6 0
3 years ago
What is the maximum weight a boat can hold if a boat can displace 60.5ml?
Valentin [98]

Answer:

a. 60.5 kg

Explanation:

Given data,

The maximum water a boat can displace is, 60.5 ml

According to the principle of buoyancy, the weight of the floating body is equal to the weight of the liquid displaced.

Under standard temperature and pressure, a unit mass of water equals one liter.

If a boat can displace a maximum of 60.5 ml of water, then it can hold a mass of a maximum of 60.5 kg of mass.

6 0
2 years ago
The speed at which a light aircraft can take off is 120 km/h. (A) What is the minimum constant acceleration required for the pla
kondor19780726 [428]

Answer:

A) a = 2.31[m/s^2]; B) t = 14.4 [s]

Explanation:

We can solve this problem using the kinematic equations, but firts we must identify the data:

Vf= final velocity = take off velocity = 120[km/h]

Vi= initial velocity = 0, because the plane starts to move from the rest.

dx= distance to run = 240 [m]

v_{f} ^{2} =v_{i} ^{2}+2*g*dx\\where:\\v_{f}=120[\frac{km}{h} ]*\frac{1hr}{3600sg} * \frac{1000m}{1km} =33.33[m/s]\\\\Replacing\\33.33^{2}=0+2*a*(240)\\ a=\frac{11108.88}{2*240}\\  a=2.31[m/s^2]\\

To find the time we must use another kinematic equation.

v_{f} =v_{i} +a*t\\replacing:\\33.33=0+(2.31*t)\\t=\frac{33.33}{2.31}\\ t=14.4[s]

7 0
3 years ago
Which renewable resource produces the most electricity in the United States? geothermal energy solar energy wind power hydroelec
Anna71 [15]

Hydroelectricity is the best answer.

This is an article by the EIA, but the pie graph is the most helpful: https://www.eia.gov/energyexplained/?page=us_energy_home

8 0
2 years ago
Read 2 more answers
Un vehicle surt, en un instant, d'un punt A cap a un altre punt B amb una velocitat constant de 36 km/h. Després d'un minut(60 s
kati45 [8]



Ask Siri or goggle has all answers



6 0
3 years ago
Other questions:
  • What is a <br> material that restricts the flow of electricity or thermal energy
    5·3 answers
  • A 40kg-skier starts at the top of a 12-meter high slope. At the bottom, she is traveling 10 m/s. How much energy does she lose t
    10·2 answers
  • On his fishing trip Justin takes the boat 25 km south. The fish aren’t biting so he goes 10 km west. He follows a school of fish
    14·1 answer
  • PLZ HELP HURRY<br><br><br><br> 20 POINT
    5·1 answer
  • On the Moon, the acceleration due to the effect of gravity is only about 1/6 of that on Earth. An astronaut whose weight on Eart
    15·1 answer
  • A bullet with mass 4.00 g and speed 650.0 m/s is fired at a block of wood with mass 0.0950 kg. The block rests on a "frictionles
    13·2 answers
  • What is the main organ of the circulatory system?
    7·2 answers
  • The equilibrant of a 40-N force acting on an object to the right and a 30-N force acting on the object to the left is ____ .
    8·1 answer
  • A parachute falling to the ground.<br><br>​
    8·1 answer
  • What are the types of realistic fiction?.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!