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
Blizzard [7]
2 years ago
6

Find the lengths of each of the following vectors

Physics
1 answer:
Irina18 [472]2 years ago
3 0

Answer:

Explanation:

Generally, length of vector means the magnitude of the vector.

So, given a vector

R = a•i + b•j + c•k

Then, it magnitude can be caused using

|R|= √(a²+b²+c²)

So, applying this to each of the vector given.

(a) 2i + 4j + 3k

The length is

L = √(2²+4²+3²)

L = √(4+16+9)

L = √29

L = 5.385 unit

(b) 5i − 2j + k

Note that k means 1k

The length is

L = √(5²+(-2)²+1²)

Note that, -×- = +

L = √(25+4+1)

L = √30

L = 5.477 unit

(c) 2i − k

Note that, since there is no component j implies that j component is 0

L = 2i + 0j - 1k

The length is

L = √(2²+0²+(-1)²)

L = √(4+0+1)

L = √5

L = 2.236 unit

(d) 5i

Same as above no is j-component and k-component

L = 5i + 0j + 0k

The length is

L = √(5²+0²+0²)

L = √(25+0+0)

L = √25

L = 5 unit

(e) 3i − 2j − k

The length is

L = √(3²+(-2)²+(-1)²)

L = √(9+4+1)

L = √14

L = 3.742 unit

(f) i + j + k

The length is

L = √(1²+1²+1²)

L = √(1+1+1)

L = √3

L = 1.7321 unit

You might be interested in
A 20-lb force acts to the west while an 80-lb force acts 45° east of north. The magnitu 80 lb 70 lb 067 lb 100 lb
natulia [17]

Answer:

option C

Explanation:

given,

force act on west  = 20 lb

force act at 45° east of north = 80 lb

magnitude of force = ?

∑ F y  =  80 cos 45⁰

    F y =  56.57 lb

magnitude of forces in x- direction

∑ F x = -20 + 80 sin 45⁰

        = 36.57 lb

net force

F = \sqrt{F_x^2+F_y^2}

F = \sqrt{56.57^2+36.57^2}

F = 67.36 lb≅ 67 lb

hence, the correct answer is option C

4 0
2 years ago
The weight of air measured in units of force per area is called _____.
Vlad1618 [11]

The weight of air resting on a surface, divided by the area
of the surface ... described in units of force per unit area ...
is called air pressure.

6 0
3 years ago
Read 2 more answers
A. How far does a 100-newton force have to move to do 1,000 joules
Aloiza [94]

Work done by a force is given as the product of force and the distance moved by the force.

<h3>What is work done?</h3>

Work done is the product of force and the distance moved by the the force.

  • Work done = Force × distance

Thus, distance required by the 100 N force is given as:

  • Distance = work done/force

Distance = 1000/100 = 10 m

Distance to be moved is 10 m.

Force applied = work done/ distance

Force applied by the hoist = 500/2

Force applied by the hoist = 250 N

Distance moved in one push-up = 25 cm = 0.25 m

Work done by the athlete after one push-up = 250 × 0.25 m

Work done by the athlete = 62.5 J

Distance moved by the force = 0 m

Work done = 500 × 0 = 0 N

Therefore, for work to be done, force has to move a distance.

Learn more about work done at: brainly.com/question/25573309

5 0
2 years ago
What is the velocity of a snail that travels 0.20 meters in 1 minute
stepladder [879]

The speed is 0.2 meter per minute.

There is not enough information given in the question to determine the velocity.

5 0
2 years ago
I need help with the second one asap
dangina [55]

Answer:

what I don't know show a question mark me as brainleast

6 0
3 years ago
Read 2 more answers
Other questions:
  • The design phase in which a building project's basic functional requirements are first laid out (square footage, utility and equ
    7·1 answer
  • A cruise ship is having troubles with buoyancy. What is a reasonable solution? A. Increase the weight of the ship above water B.
    15·2 answers
  • a train is moving 35m/s to the east. it speeds up to 42 m/s east over the course of 40 seconds. what is the trains acceleration?
    13·1 answer
  • A car is pulled with a force of 10,000 N. The car's mass is 1267 kg. But, the car covers 394.6 m in 15 seconds
    13·1 answer
  • The components of a 10.8-meters-per-second velocity at an angle of 34.° above the horizontal are
    5·1 answer
  • Which animals are cold-blooded, obtain dissolved oxygen in water through gills, have scales, have fins, and live in water
    11·1 answer
  • Which of the following is a pure substance?
    10·2 answers
  • The greater the mass of an object?<br> I’ll give brainliest!*
    13·1 answer
  • Kevin was setting the table for thanksgiving dinner at his house. He had bought different set of knives spoons and forks from th
    10·1 answer
  • As part of your daily workout, you lie on your back and push with your feet against a platform attached to two stiff springs arr
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!