- #1
mrknowknow
- 39
- 0
Homework Statement
The problem is attached
Homework Equations
sqrt(a^2+b^2)
The Attempt at a Solution
I used the equations above to calculate the resultant but apparently it wasn't right.
If you were not given the angle then I see no alternative.mrknowknow said:But this was on a test so do you think we were suppose to estimate the angle between the two?
To add vectors given just the magnitude, you first need to identify the direction of each vector. Then, use the trigonometric functions (sine, cosine, tangent) to find the components of each vector. Finally, add the components of each vector to get the resultant vector.
Yes, you can add vectors with different magnitudes as long as they have the same unit of measurement. However, the resultant vector will have a magnitude that is the sum of the individual vectors' magnitudes.
To add more than two vectors given just the magnitude, you can use the head-to-tail method. Start by drawing the first vector from the origin and then draw the subsequent vectors from the head of the previous vector. The resultant vector is the vector drawn from the origin to the head of the last vector.
No, vectors do not have to be in the same direction to be added. However, the angle between the vectors will affect the magnitude and direction of the resultant vector. If the vectors are in opposite directions, the resultant vector will be the difference between their magnitudes.
Yes, vectors can be added algebraically using their magnitude and direction. You can use the Pythagorean theorem and trigonometric functions to determine the magnitude and direction of the resultant vector. This method is useful when the vectors are not drawn to scale.