Vector A has a magnitude of 48 cm and is directed toward the East. Vector B has a magnitude of 21 cm and is directed toward the West. Find the resultant vector with direction. Help please!!!!
For your next question on vectors, you will have to brief us as to what you have learned. To combine two vectors, you could use graphical methods or summing components of vectors.
In this particular case, since the two vectors happen to be directed opposite to each other, we only have to use scalar addition, with the positive sign towards east, and negative towards West.
Thus the resultant is
̅A+̅B
=+48-21 cm towards East
=27 cm towards East.
To find the resultant vector with direction, you can use vector addition. The direction of the resultant vector will depend on the direction and magnitude of the given vectors.
In this case, Vector A is directed toward the East, and Vector B is directed toward the West. Since they are directed in opposite directions, we need to take that into account when adding them.
First, let's assign positive (+) values to the East direction and negative (-) values to the West direction.
Magnitude of Vector A = 48 cm, directed toward the East
Magnitude of Vector B = 21 cm, directed toward the West
To find the resultant vector, we can subtract the magnitude of Vector B from the magnitude of Vector A.
Resultant magnitude = |Magnitude of Vector A| - |Magnitude of Vector B|
= |48 cm| - |21 cm|
= 48 cm - 21 cm
= 27 cm
Since Vector A is greater in magnitude, the resultant vector will be in the direction of Vector A. Therefore, the resultant vector will be 27 cm directed toward the East.
So, the resultant vector is 27 cm directed toward the East.