Is this a graphical or algebraic method? I don't remember how to add vectors, either.RJLiberator said:Based on your question you have 3m/s E. This leads me to believe that the vector is due east. Likewise with the 5m/s north.
Do you recall how to add vectors?
Subtracting is merely A-B = A+(-B).
RJLiberator said:If you look at it graphically, we have 3 m/s due east, meaning right on the x-axis. x=3
We have 5 m/s due north, meaning y = 5
A+(-B) would mean you flip B, and then place the tail of B to the head of A. Now you have a right triangle, what can do you with a right triangle to find the missing values?
Thank you!RJLiberator said:In this case you could break up the actual components of each vector.
If vector a was 5 m/s and at 45 degrees north of east, then you have an angle and the hypotenuse.
You should know/recall from trig that cos(angle) = a/h so h*cos(angle) = a
Now you have the velocity of that vector in the due east direction. You can do the same with sin to find the velocity in the due north direction.
Once you break up the components of the vectors, you can add/subtract the components as necessary and then pull everything back together.
Vectors are mathematical quantities that have both magnitude (size) and direction. They are commonly used in physics and engineering to represent forces, velocities, and other physical quantities.
To subtract vectors, you must first make sure they are in the same coordinate system and then add the negative of the second vector to the first vector. This can be done by changing the direction of the second vector or by using the component method where you subtract the corresponding components of each vector.
Scalar subtraction involves only subtracting the numerical values of two quantities, while vector subtraction also takes into account the direction of the vectors. Scalar subtraction results in a single numerical value, while vector subtraction results in a new vector with its own magnitude and direction.
Yes, the process typically involves identifying the coordinates and components of the vectors, ensuring they are in the same coordinate system, subtracting the corresponding components, and then finding the magnitude and direction of the resulting vector.
Subtracting vectors is commonly used in navigation and mapping, such as finding the difference in position between two points on a map. It is also used in physics and engineering to solve problems involving forces, velocities, and other physical quantities.