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
Get some graph paper, draw two axes and bisect them with a 45 degree sloping line. Next pick any point on that 45 degree sloping line and from that point draw a line parallel to the horizontal axis so that it intersects the vertical axis. Do the same thing from the point drawing a line parallel with the vertical axis so that it intersects the horizontal axis. These two lines represent represent the components of your vector and if you measure them they will be of equal length and thus of equal magnitude. For ANY angle of slope (other than 45 degrees) the two vectors will not be of equal length.
The Resultant Vector minus the other 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.
Equilibrant vector is the opposite of resultant vector, they act in opposite directions to balance each other.
A resutant vector
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
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.
Yes, put the three vectors in a plane, with a separation of 120 degrees between each vector and each of the other vectors.
yes the resultant of the two vectors can be zero.it can be illustrated by drawing following diagram.a triangle may be considered as a vector diagram in which the force polygon close and the resultant of the three vectors is zero.
Sum of two vectors can only be zero if they are equal in magnitude and opposite in direction. So no two vector of unequal magnitude cannot be added to give null vector. Three vectors of equal magnitude and making an angle 120 degrees with each other gives a zero resultant.