Suppose the 30 unit vector is acting horizontally.
Then the 60 unit vector has a horizontal component of 60*cos(60) units
and a vertical component of 60*sin(60) units.
So total horizontal = 30 + 60*cos(60) = 60 units
total vertical = 60*sin(60)= 51.96 units.
Then magnitude of resultant = sqrt(602 + 51.962) = sqrt(6300) = 79.37 units (approx).
And direction = tan-1(51.96/60) = 40.89 degrees (from the 30 unit vector).
The outcome is called the resultant no matter what angle At right angles the resultant is calculated a the hypotenuse of the triangle with each vector as sides
The multiplicative resultant is a three unit vector composed of a vector parallel to the 3 unit vector and a vector parallel to the product of the 3 unit and 4 unit vectors. R = (w4 + v4)(0 +v3) = (w40 - v4.v3) + (w4v3 + 0v4 + v4xv3) R = (0 - 0) + w4v3 + v4xv3 as v4.v3 =0 ( right angles or perpendicular)
linear transformation can be define as the vector of 1 function present in other vector are known as linear transformation.
20 degrees
The sum of all three angles in a triangle is 180 degrees. If one angle has 180 degrees then there are no degrees left for the other two. If it is a fraction less than 180 degrees then the other could split up the small fraction.
The Resultant Vector minus the other vector
A resutant vector
Equilibrant vector is the opposite of resultant vector, they act in opposite directions to balance each other.
A resultant vector is one vector which can replace all the other vectors and produce the same effect.
A resultant vector is the single vector that represents the combined effect of multiple vectors. It is obtained by adding together all the individual vectors. An equilibrant vector is a single vector that, when added to the other vectors in the system, produces a net result of zero, effectively balancing out the other vectors.
The resultant vector will have a magnitude of zero because the two equal and opposite vectors cancel each other out. The direction of the resultant vector will be indeterminate or undefined.
When you resolve a vector, you replace it with two component vectors, usually at right angles to each other. The resultant is a single vector which has the same effect as a set of vectors. In a sense, resolution and resultant are like opposites.
The resultant vector has maximum magnitude if the vectors act in concert. That is, if the angle between them is 0 radians (or degrees). The magnitude of the resultant is the sum of the magnitudes of the vectors.For two vectors, the resultant is a minimum if the vectors act in opposition, that is the angle between them is pi radians (180 degrees). In this case the resultant has a magnitude that is equal to the difference between the two vectors' magnitudes, and it acts in the direction of the larger vector.At all other angles, the resultant vector has intermediate magnitudes.
Just by adding
The direction of the resultant vector with zero magnitude is indeterminate or undefined because the two equal and opposite vectors cancel each other out completely.
To calculate the size of the resultant force in physics, you can use vector addition. This involves determining the sum of the individual forces acting on an object, taking into account their magnitude and direction. The magnitude of the resultant force can be calculated using the Pythagorean theorem for forces acting at right angles, or vector addition for forces acting at angles other than 90 degrees.
The head-to-tail rule is a method used to find the resultant of two vectors by placing the tail of one vector against the head of the other. For example, if a 5N force is applied east and a 3N force is applied north, using the head-to-tail rule, the resultant force can be found by connecting the tail of the first vector to the head of the second vector to form a triangle.