- - line;
- - Calculator.
To build the sum of two vectors by parallel translation align them so that they came from a single point.Through the end of one of the vectors draw a line parallel to the second vector.Through the end of the second vector draw a line parallel to the first vector.Built directly intersect at some point.With proper construction, vector and line segments between the ends of the vectors and the point of intersection will parallelogram.Construct a vector which will start at the point of combining vectors, and end at the intersection of the constructed lines.This will be the sum of these two vectors.Measure the length of the resulting vector ruler.
If vector parallel and direc
ted in one direction and then measure their length.Put parallel to the segment length is equal to the sum of the lengths of these vectors.Point it in the same direction as the original vector .This will be their sum.If vector in opposite directions, subtract their length.Construct a segment parallel to the vector m, point it in the direction of greater vector .This will be the sum of opposing parallel vectors.
If you know the lengths of the two vectors and the angle between them, locate the unit (absolute value) of the amount of building is not producing.Calculate the sum of squares of the vectors a and b, and add them thereto twice the product multiplied by the cosine of the angle α therebetween.From this number, remove the square root of c = √ (a² + b² + a ∙ b ∙ cos (α)).This will be the length of the vector , equal to the sum of the vectors a and b.
If vector specified coordinates, find their sum folded corresponding coordinates.For example, if the vector a has coordinates (x1; y1; z1), the vector b (x2; y2; z2), then folded termwise coordinates, get vector c, whose coordinates (x1 + x2; y1 + y2; z1 + z2).This vector and is the sum of the vectors a and b.In the case where the vector are on the plane, the z coordinate is not considered.
- length of the vector sum