Vectors using the component method

AI Thread Summary
To add vectors using the component method, first calculate the x-component by multiplying the magnitude by the cosine of the angle, resulting in 2.56 for the i component. For the y-component, use the sine function: multiply the magnitude by sin(31.5°) to find the j component. The resultant vector can then be expressed in unit-vector notation as ...i + ...j. Clarification on the sine calculation for the y-axis is requested for further assistance. Accurate calculations are essential for determining the correct resultant vector.
farhana21
Messages
7
Reaction score
0
Use the component method to add the vectors and shown in the figure. The length of is 2.55 m and the angle θ = 31.5°. Express the resultant + in unit-vector notation.

The answer should be in the form of ...i + ...j

so far i have done

3*cos(31.5) = 2.56 so this is for ...i but I am unsure of how to find vector j for the y axis.

Please could someone advise me. All help and guidance given is much appreciated

vector.gif
 
Physics news on Phys.org
Thread 'Voltmeter readings for this circuit with switches'

Thread 'Voltmeter readings for this circuit with switches'

TL;DR Summary: I would like to know the voltmeter readings on the two resistors separately in the picture in the following cases , When one of the keys is closed When both of them are opened (Knowing that the battery has negligible internal resistance) My thoughts for the first case , one of them must be 12 volt while the other is 0 The second case we'll I think both voltmeter readings should be 12 volt since they are both parallel to the battery and they involve the key within what the...
View full post »
Thread 'Struggling to make relation between elastic force and height'

Thread 'Struggling to make relation between elastic force and height'

Hello guys this is what I tried so far. I used the UTS to calculate the force it needs when the rope tears. My idea was to make a relationship/ function that would give me the force depending on height. Yeah i couldnt find a way to solve it. I also thought about how I could use hooks law (how it was given to me in my script) with the thought of instead of having two part of a rope id have one singular rope from the middle to the top where I could find the difference in height. But the...
View full post »

Similar threads

Can A Vector Have Components Of Say Y or Z in the X-Hat Direction?
Replies
8
Views
934
Adding Vectors Using the Component Method
Replies
12
Views
11K
Calculate electric force using Coulomb's law (vector components are the struggle)
Replies
3
Views
1K
Vectors using the component method
Replies
3
Views
1K
Syntax Error? x and y components of E field in unit vector form
Replies
13
Views
2K
Confusion with force components
Replies
21
Views
2K
Inelastic 2D Collision with Vector Components
Replies
7
Views
2K
Am I Calculating the Components of V3 Correctly?
Replies
9
Views
2K
The components of force and velocity vectors in circular motion
Replies
11
Views
3K
Help about the unit vectors for polar coordinates in terms of i and j
Replies
13
Views
2K

Hot Threads

Recent Insights

Back
Top