If the two vectors are in the form: P = ai + bj, and Q = ci + dj
Then 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.
Let two equal magnitude vectors be 'X'.. Then, resultant=1.414X
Yes. If the two vectors are two sides of an equilateral triangle, then the resultant is the third side and therefore equal in magnitude.
resultant
If their sum (resultant) is 0, then the magnitude of the resultant must be 0.
Yes - if the vectors are at an angle of 60 degrees. In that case, the two vectors, and the resultant, form an equilateral triangle.Yes - if the vectors are at an angle of 60 degrees. In that case, the two vectors, and the resultant, form an equilateral triangle.Yes - if the vectors are at an angle of 60 degrees. In that case, the two vectors, and the resultant, form an equilateral triangle.Yes - if the vectors are at an angle of 60 degrees. In that case, the two vectors, and the resultant, form an equilateral triangle.
yes
Yes. This will happen if the two vectors are at an angle of 120 degrees.
It is not possible. The maximum magnitude is obtained when the vectors are aligned and in this case the resultant has a magnitude which is the sum of the individual vectors. In the given example, the maximum possible magnitude for the resultant is 16 units. In general |a+b| <= |a| + |b| where a, b are vectors and |a| is the magnitude of a
Yes, a resultant vector is the vector sum of the two vectors. It has it's own direction and magnitude.
120 deg
if you add the vectors magnitude and equal to resultant the angle between them is 0
If they are equal in magnitude but act in opposite directions.