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Can the sum of the magnitudes of two vectors ever be equal to the magnitudes of the sum of these two vectors?
No, the magnitudes of the sum of two vectors are generally greater than or equal to the sum of the magnitudes of the individual vectors. The triangle inequality states that the sum of the lengths of any two sides of a triangle must be greater than the length of the remaining side, which applies to vector addition as well.
Can two vectors having different magnitudes be combined to give a zero resultant can three vectors?
Yes, two vectors of different magnitudes can be combined to give a zero resultant if they are equal in magnitude but opposite in direction. For three vectors to give a zero resultant, they must form a closed triangle or meet at a common point where the sum of the vectors equals zero.
Can three vectors not lying in plane give zero resultant?
Yes, three vectors that do not lie in the same plane can give a zero resultant if they form a closed triangle. This can happen when the vectors cancel each other out due to their directions and magnitudes.
What are the Methods used in adding and subtracting vectors?
Triangle law of vectors or parallelogram law of vectors. Just while subtracting change the direction of the vector which is to be subtracted and add along with the one from which it is to be subtracted. Just as we change the sign and add in case of subtraction of numbers. Answer2: Vectors are added and subtracted by component. A=a1 + a2 and B=b1 + b2 then C = A + B = (a1 + b1) + (a2 + b2) = c1 + c2 .
Under what condition the sum of three vectors will be zero?
Three vectors sum to zero under the condition that they are coplanar (lie in a common plane) and form a triangle. If the vectors are not coplanar, they will not sum to zero. Another way of looking at it is that the sum is zero if any vector is exactly equal in magnitude and opposite in direction to the vector sum (so-called resultant) of the remaining two.
Does law of vectors mean triangle law of vectors?
law of vectors also include the parallellogram law .
What is the triangle law of vectors?
If three vectors form a triangle , their vector sum is zero.
Does law of vectors means triangle law of vector?
ya they just accidentally said law of vectors instead.
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 vector triangle?
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)
How do you verify triangle law of vector addition?
If the three sides of a triangle are represented by vectors then the sum of two sides in same direction is equal to the third side in opposite direction..
What is the three vectors arrangement if their resultant is zero?
A triangle of vectors, in which the sides are the three vectors arranged head-tail.
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.
What are the applications of Parallelogram law of vectors?
The law is used to add vectors to find the resultant of two or more vectors acting at a point.
For any triangle made of vectors will any pair of vectors that form its sides be equal vectors?
No. Only in the equilateral case. And then they will only be equal in magnitude, not direction.
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
Can the resultant of two vectors of the same magnitude be equal to the magnitude of either of the vector. How?
Yes - if the vectors are at an angle of 60 degrees. In that case, the two vectors, and the resultant, form an equilateral triangle.Yes - if the vectors are at an angle of 60 degrees. In that case, the two vectors, and the resultant, form an equilateral triangle.Yes - if the vectors are at an angle of 60 degrees. In that case, the two vectors, and the resultant, form an equilateral triangle.Yes - if the vectors are at an angle of 60 degrees. In that case, the two vectors, and the resultant, form an equilateral triangle.
