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yes since the 3rd vector will be parallel to the resultant of the 1st and 2nd vector
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Is it is possible to add three vectors of equal magnitude and get zero?
Yes. Vectors contain both magnitude and direction. Graphically three vectors of equal magnitude added together with a zero sum would be an equilateral triangle.
Can three vectors of equal magnitudes be added to give a vector of same magnitude and how?
Only if the magnitude of all three vectors equals 0.Suppose three vectors (xi), (xj), (xz) are added. If the above statement is true then adding these three vectors should give a magnitude of x(x2 + x2 + x2)1/2 = xSquaring both sidesx2 + x2 + x2 = x22x2=0The above expression is only solvable for x = 0Hence the answer to the above equation is no, unless both vectors are the zero vector.
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 three vectors arrangement if their resultant is zero?
A triangle of vectors, in which the sides are the three vectors arranged head-tail.
Is it possible to combine two vectors of different magnitude to give a zero resultant if not can three vectors be combine?
Two vectors: no. Three vectors: yes.
Is the order of addition important when three or more vectors are added?
No it has no effect.
Is it is possible to add three vectors of equal magnitude and get zero?
Yes. Vectors contain both magnitude and direction. Graphically three vectors of equal magnitude added together with a zero sum would be an equilateral triangle.
Can three vectors of equal magnitudes be added to give a vector of same magnitude and how?
Only if the magnitude of all three vectors equals 0.Suppose three vectors (xi), (xj), (xz) are added. If the above statement is true then adding these three vectors should give a magnitude of x(x2 + x2 + x2)1/2 = xSquaring both sidesx2 + x2 + x2 = x22x2=0The above expression is only solvable for x = 0Hence the answer to the above equation is no, unless both vectors are the zero vector.
How may the resultant of two vectors be computed analytically from vector parallelogram?
The resultant of two vectors can be computed analytically using the parallelogram law, which states that the sum of the two vectors forms a diagonal of the parallelogram they define. This diagonal represents the resultant vector, and its magnitude and direction can be determined using trigonometric functions based on the component vectors.
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 could be the weakness or disadvantages of the tail-to-tip method of adding vectors?
One weakness of the tail-to-tip method is that it can be prone to errors in visualization, especially with complex vector arrangements. Additionally, it can be time-consuming for large numbers of vectors. Lastly, this method may not be as accurate when dealing with vectors in three-dimensional space.
How many minimum no of coplaner vectors having different magnitude can be added to given zero resultant?
Two minimum coplanar vectors with different magnitudes can be added to produce a zero resultant by choosing vectors in opposite directions and adjusting their magnitudes appropriately.
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.
Is it possible to combine two vectors of different magnitude to give a zero resultant if not can three vectors be combine?
Two vectors: no. Three vectors: yes.
How do you show that that the three vectors are coplanar?
Three vectors are coplanar if they sum to zero. V1 + V2 + V3 = o means the three vectors are coplanar.
Can two vectors having different magnitude be compined to give a zero resultant can three vector?
Two vectors, no; three vectors yes.
When was Vectors in three-dimensional space created?
Vectors in three-dimensional space was created in 1978.
