# Is the triangle law of vector addition?

**Asked by: Anabelle Simonis**

Score: 4.2/5 (37 votes)

Triangle law of vector addition states that **when two vectors are represented as two sides of the triangle with the order of magnitude and direction, then the third side of the triangle represents the magnitude and direction of the resultant vector**. You can use this law in abuse as well as obtuse angles.

Simply so, What are the laws of vector addition?

Addition of vectors satisfies two important properties. 1. The Commutative law states that the order of addition doesn't matter, that is : A+B is equal to B+A. 2 The

**Associative law**, which states that the sum of three vectors does not depend on which pair of vectors is added first, that is: (A+B)+C=A+(B+C).

In this manner, How do you prove the triangle law of vector addition?. Triangle Law of Vector Addition Derivation

Consider two vectors →P and →Q that are represented in the order of magnitude and direction by the sides OA and AB, respectively of the triangle OAB.

**Let →R be the resultant of vectors →P and →Q**. Above equation is the magnitude of the resultant vector.

Secondly, What is the triangular law of vectors?

A law which states that if a body is acted upon by two vectors represented by two sides of a triangle taken in order,

**the resultant vector is represented by the third side of the triangle**.

What is 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**. ... The sum of the lengths of the two shortest sides, 6 and 7, is 13.

**19 related questions found**

### Is it possible to add two velocities using triangle law?

Is it possible to add two velocities using the triangle law? **Yes**. Your Velocities must be in vector form or each have a MAGNITUDE and DIRECTION. ... If the velocities did not have the same direction, the two velocities and the sum vector will form a triangle.

### What are the formulas for triangles?

The area A of a triangle is given by the formula **A=12bh** where b is the base and h is the height of the triangle.

### What is the difference between triangle law and parallelogram law?

in triangle law of vector addition the third side of the triangle is the resultant but in parallelogram law of vector addition **the diagonal is the resultant**.

### What is parallelogram vector addition?

According to the parallelogram law of vector addition if **two vectors act along two adjacent sides of a parallelogram**(having magnitude equal to the length of the sides) both pointing away from the common vertex, then the resultant is represented by the diagonal of the parallelogram passing through the same common vertex ...

### What are the laws of vector algebra?

Vector algebra in geometric form**Two vectors u and v are equal if they have the same magnitude (length) and direction**. for all vectors v and u. for all vectors u, v and w and for all scalars s and t. We may then simply write u + v + w, without using brackets.

### What is the difference between parallelogram and triangle?

A parallelogram is a four-sided, two-dimensional shape in which opposite sides are parallel and have equal length. ... A triangle is a two-dimensional shape with three sides and three angles. To find the area of a triangle, we take one half of its base multiplied by its height.

### What happens when two vectors are in opposite direction?

Vectors having the same length as a particular vector but in the opposite direction are called **negative vectors**. ... For example, if a vector PQ points from left to right, then the vector QP will point from right to left. Since these directions are opposite, we say that PQ = –QP.

### Where do we use triangles?

Triangles can be used **to make trusses**. Trusses are used in many structures, such as roofs, bridges, and buildings. Trusses combine horizontal beams and diagonal beams to form triangles. Bridges that use trusses are called truss bridges.

### How do I find the length of a triangle?

**Right Triangles and the Pythagorean Theorem**

- The Pythagorean Theorem, a2+b2=c2, a 2 + b 2 = c 2 , can be used to find the length of any side of a right triangle.
- The side opposite the right angle is called the hypotenuse (side c in the figure).

### What is a formula of cylinder?

The formula for the volume of a cylinder is **V=Bh or V=πr2h** . The radius of the cylinder is 8 cm and the height is 15 cm. ... Therefore, the volume of the cylinder is about 3016 cubic centimeters.

### What is sin theta formula?

As per the sin theta formula, sin of an angle **θ**, in a right-angled triangle is equal to the ratio of opposite side and hypotenuse. The sine function is one of the important trigonometric functions apart from cos and tan.

### When can the addition of two vectors be zero?

Addition of two vectors can only be zero **when there directions are opposite and their magnitude is additive inverse of each other**.

### Can two velocities be added?

Adding velocities. Consider **two objects**. The first object moves with velocity v relative to the second object, while the second object moves with velocity u with respect to an observer. In Newtonian physics the observer would say that the velocity of the first object is the sum of the two velocities.

### What is vector addition?

Vector addition is **the operation of adding two or more vectors together into a vector sum**. The so-called parallelogram law gives the rule for vector addition of two or more vectors.

### What is vector rule?

Unlike the dot product, the vector product is a vector. The direction of the vector (A crossB) is defined by the so-called right-hand rule. ... The **vector (A cross B) is then perpendicular to both A and B and points in the direction of one's thumb**. A vector dotted into itself gives the square of the length of the vector.

### How do you add vectors together?

To add vectors, **lay the first one on a set of axes with its tail at the origin**. Place the next vector with its tail at the previous vector's head. When there are no more vectors, draw a straight line from the origin to the head of the last vector. This line is the sum of the vectors.

### Is it possible to add any two vectors?

**Two vectors can be added together to determine the result** (or resultant). This process of adding two or more vectors has already been discussed in an earlier unit.

### When two vectors are added or subtracted then the resultant is?

To add or subtract two vectors, add or subtract the corresponding components. Let →u=⟨u1,u2⟩ and →v=⟨v1,v2⟩ be two vectors. The **sum of two** or more vectors is called the resultant.

### Can a unit vector be negative?

Answer. Two vectors are equal if they have the same magnitude and the same direction. Just like scalars which can have positive or negative values, vectors can also be **positive or negative**.