How do you find the resultant vector using the triangle method?

When two vectors which are to be added taken in order are represented in direction and magnitude by two sides of a triangle then the third side taken in opposite order represents the resultant completely i.e. in direction and magnitude.

What is the formula for resultant vector?

R = A + B. Vectors in the opposite direction are subtracted from each other to obtain the resultant vector. Here the vector B is opposite in direction to the vector A, and R is the resultant vector.

How do you use the triangle rule?

The sides of a triangle rule asserts that the sum of the lengths of any two sides of a triangle has to be greater than the length of the third side. See the side lengths of the acute triangle below. The sum of the lengths of the two shortest sides, 6 and 7, is 13.

How many vectors does triangle have?

(See lesson 3 on triangles). We can make a triangle out of the two vectors and , and a third vector − (see lesson 1 on vectors 1). Look at the diagram below.

How to find the area of a triangle with three vectors?

Expression to find the area of a triangle when three vectors will be given. Let the sides of ∆ABC be represented by a ⃗, b ⃗ a n d c ⃗ \\vec a, \\vec b\\ and\\ \\vec c a, b a n d c. Basically they will give us the position vectors of the corresponding sides. If they are the position vectors of the ∆ABC then the area of the triangle will be written as

How do you find the direction of a vector using trigonometry?

Use the inverse trig functions to calculate the vector’s direction. When using the navigation convention (0º is north or in the positive y-direction) and direction increases clockwise), the vector’s direction is 50.2º: Direction = tan¯¹ (opposite / adjacent) = tan¯¹ (6.0 / 5.0) = 50.2º

What is the difference between a right triangle and a vector?

Use the examples that follow to convert between these two forms of vectors. Since the axes that define the direction of a vector are perpendicular to each other, a right triangle also describes a vector relative to the axes.

How to find the area of a triangle using expexpression?

Expression to find the area of a triangle when three vectors will be given. \\vec a, \\vec b\\ and\\ \\vec c a,b and c. Basically they will give us the position vectors of the corresponding sides. If they are the position vectors of the ∆ABC then the area of the triangle will be written as