The formula for finding the height of a triangle, given 2 vectors and the area, is h = (2 * A) / ||v x w||, where h is the height, A is the area, and v and w are the given vectors.
The area of a triangle can be calculated using the cross product of the 2 given vectors: A = ||v x w|| / 2, where A is the area and v and w are the given vectors.
No, the height of a triangle cannot be negative. It is always a positive value that represents the perpendicular distance between the base and the opposite vertex of the triangle.
Vectors allow us to calculate the height of a triangle without having to know the length of the base or the coordinates of the vertices. This makes it a more versatile and efficient method of finding the height of a triangle.
Yes, there are other methods for finding the height of a triangle, such as using the Pythagorean theorem or the trigonometric functions. However, these methods may require more information about the triangle, such as the length of the base or the angles.