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What is the vector triangle?

Updated: 10/25/2022
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The "vector triangle" illustrates the "dot product" of two vectors, represented as sides of a triangle and the enclosed angle. This can be calculated using the law of cosines. (see link)

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Q: What is the vector triangle?
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Can the triangle law of vector addition be used for many vectors?

no because triangle only contain three vectors and if many vector are added then they cant form a triangle


What is the triangle law of vectors?

If three vectors form a triangle , their vector sum is zero.


Why in dot product you use cos and in vector product sin?

We use the dot product cos and in vector we use the vector product sin because of the trigonometric triangle.


Is it possible to add three vector of equal magnitude but different directions to get a null vector?

Consider an equilateral triangle. If each vector started at the center of the triangle and went through a different vertex than the other two vectors then they would cancel. I believe in order for them to add to a null vector they must be co-planer.


What is the difference between parallelogram law of vector addition n triangle law of vector addition?

There is basically no difference. They are nothing more than 2 different visualizations of how we can graphically add two vectors.strictly if we say there is one and only difference is that---Triangle law of vector addition states that when 2 vectors r acting as the adjacent sides of a triangle taken in order. third side of the triangle will give the magnitude of th resultant 7 direction is in opposite order.Parallelogram law of vector addition states that if 2 vectors r acting as the adjacent sides of a parallelogram, then the diagonal of parallelogram from the point of intersection of two vectors represent their resultant magnitude & direction.

Related questions

When drawing a vector using the triangle method of addition how do you draw in the resultant vector?

When drawing a vector using the triangle method you will draw in the resultant vector using Pythagorean theorem. This is taught in physics.


Can the triangle law of vector addition be used for many vectors?

no because triangle only contain three vectors and if many vector are added then they cant form a triangle


What is the triangle law of vectors?

If three vectors form a triangle , their vector sum is zero.


Why in dot product you use cos and in vector product sin?

We use the dot product cos and in vector we use the vector product sin because of the trigonometric triangle.


Is it possible to add three vector of equal magnitude but different directions to get a null vector?

Consider an equilateral triangle. If each vector started at the center of the triangle and went through a different vertex than the other two vectors then they would cancel. I believe in order for them to add to a null vector they must be co-planer.


Can you give the different American vowel sounds using triangle vector?

cut


State and explain triangle law of vector?

if two vectors are represented in magnitude and direction by the two sides of a triangle taken in one order ,their resultant vector is represented by the third side of the triangles taken in reverse order


What does vector mean in science terms?

Any physical quantity which has both direction and magnitude is called a vector. A quantity must also obey the 'Triangle law of vector addition' to be called as a vector. For example displacement is a vector, u can say a person moved 5 km (magnitude) along west(direction). But electric current is not a vector, it has magnitude and its direction is from +ve terminal to -ve terminal but it doesn't obey triangle law. Rather currents are added as scalars.


Why isn't the sum of two vectors a scalar?

A vector has direction, where as a scalar does not. When you add two vectors, it is like you are moving one vector to the end of the other vector, and closing off the triangle with a vector for the third side. That third vector is the addition of the first two vectors. The new vector points in a specific direction, so it cannot be a scalar.


What is triangle law in 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.


Will a vector at 45 degree to the horizontal be larger or smaller than its horizontal and vertical component changes?

Larger by a factor of √2. If you draw a vector at 45°, then draw a vertical line from the end of that vector, you have a 45° right triangle. If you recall your trig. relationships, the hypotenuse of a 45° right triangle is √2 (or 1.414) times the length of either leg.


If you were to describe a translation of triangle ABC what information would you need to include in your description?

The translation vector.