It is 18 yards West.
The law is used to add vectors to find the resultant of two or more vectors acting at a point.
resultant
120 deg
No. For three vectors they must all lie in the same plane. Consider 2 vectors first. For them to resolve to zero, they must be in opposite direction and equal magnitude. So they will lie along the same line. For 3 vectors: take two of them. Any two vectors will lie in the same plane, and their resultant vector will also lie in that plane. Find the resultant of the first two vectors, and the third vector must be along the same line (equal magnitude, opposite direction), in order to result to zero. Since the third vector is along the same line as the resultant vector of the first two, then it must be in the same plane as the resultant of the first two. Therefore it lies in the same plane as the first two.
If they are parallel, you can add them algebraically to get a resultant vector. Then you can resolve the resultant vector to obtain the vector components.
The law is used to add vectors to find the resultant of two or more vectors acting at a point.
You can't find the resultant of two vectors without magnitudes as well as directions.
resultant
120 deg
No. For three vectors they must all lie in the same plane. Consider 2 vectors first. For them to resolve to zero, they must be in opposite direction and equal magnitude. So they will lie along the same line. For 3 vectors: take two of them. Any two vectors will lie in the same plane, and their resultant vector will also lie in that plane. Find the resultant of the first two vectors, and the third vector must be along the same line (equal magnitude, opposite direction), in order to result to zero. Since the third vector is along the same line as the resultant vector of the first two, then it must be in the same plane as the resultant of the first two. Therefore it lies in the same plane as the first two.
If they are parallel, you can add them algebraically to get a resultant vector. Then you can resolve the resultant vector to obtain the vector components.
An easy way to visual this is by drawing a triangle with the vectors. Obviously one vector will be the vertical and another will be perpendicular to that, the horizontal. These two vectors will connect at the ends. Then you connect the other two ends with another vector and that is the resultant. Vector sum, or the square root of the sum of the squares; you use the pythagorem theorem to find the resultant, also the hypotenuse. r2= v12 + v22. The vertical vector squared plus the horizontal squared, you take the root of the sum of the squared vectors and that gives the resultant vector. If the horizontal or vertical vector is negative, then the resultant vector will be negative as well. This is used for any units including velocity, distance, and acceleration.
If both vectors are of the same magnitude, and the resultant is equal to one, then all three are equal. This describes an equilateral triangle.Since the angles of a triangle must sum to 180, the three angles of an equilateral triangle are all 60 degrees.
Use the Law of Pythagoras to find the resultant vector. For the angle, you can use the arc-tangent. Or simply use the rectangular-->polar conversion, available on most scientific calculators.
If the two vectors are in the form: P = ai + bj, and Q = ci + djThen the resultant vector is (a + c)i + (b + d)jand the magnitude is:sqrt((a +c)2 + (b + d)2)If 3 dimensional, then the k components are added then squared and added to the i & j components, before taking the square root.
To find the resultant force you need to find both the x and y component of the resultant force. Once you have that, you can use the Pythagorean theorem to find the resultant force.
One mile equals 5280 feet, and one yard equals 3 feet, therefore, one mile equals 5280/3 = 1760 yards.