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The first way is graphical: draw the vectors head to tail and draw a new vector with a tail having the same tail as the first vector and having the same head as the second vector. This new vector is the sum of the two.
The other way is arithmetic: Gets the components of the vectors along a set of Cartesian axis. The ith component of the sum is the ith component of the first vector plus the ith component of the second vector.
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What is the rule for adding vectors?
The general rule for adding vectors is to hook them together "head to tail" and then draw in a resultant vector. The resultant will have the magnitude and direction that represents the sum of the two vectors that were added.
When adding two vectors at right angles is the resultant of the vectors the algebraic sum of the two vectors?
No. Vectors add at rightangle bythe pythagoran theorem: resultant sum = square root of (vector 1 squared + vector 2 squared)
Why the product of two vectors is sometime scalar and sometime vector?
Because there are two different ways of computing the product of two vectors, one of which yields a scalar quantity while the other yields a vector quantity.This isn't a "sometimes" thing: the dot product of two vectors is always scalar, while the cross product of two vectors is always a vector.
Can two vectors of unequal magnitude add up to give the zero vector?
No. The vector resultant of addition of vectors is the vector that would connect the tail of the first vector to the head of the last. For any set of vectors to add to the zero vector, the endpoint of the last vector added must be coincident with the start point of the first. Therefore for the sum of only two vectors to have a chance of being the zero vector, the second vector must be in a direction exactly opposite the first. So you can tell that the result of adding the two vectors could only can be zero vector if the two vectors were of two equal magnitude.
Can sum of two vectors be numeric?
No, the sum of two vectors cannot be a scalar.
When adding two vectors at right anglers the resultant of the vectors is the algebraic sum of the two vectors True or false?
false
Adding vectors that act in the opposite direction?
When two vectors with different magnitudes and opposite directions are added :-- The magnitude of the sum is the difference in the magnitudes of the two vectors.-- The direction of the sum is the direction of the larger of the two vectors.
What is the rule for adding vectors?
The general rule for adding vectors is to hook them together "head to tail" and then draw in a resultant vector. The resultant will have the magnitude and direction that represents the sum of the two vectors that were added.
Which operation gives a resultant vector?
adding two or more vectors
Adding two vectors in the same direction?
The sum of two vectors having the same direction is a new vector. It's magnitude is the sum of the magnitudes of the original two vectors, and its direction is the same as their common direction.
What is parallelogram method?
parallelogram method is a common way of adding two vectors
When adding two vectors at right angles is the resultant of the vectors the algebraic sum of the two vectors?
No. Vectors add at rightangle bythe pythagoran theorem: resultant sum = square root of (vector 1 squared + vector 2 squared)
If two vectors are perpendicular to each other then the resultant what?
The direction after adding two equal and opposite vectors is the "Direction" of the two vectors. V=aDirection and Opposite V = OV = - aDirection. Adding the two gives, V + OV= (a-a)Direction = 0 Direction.
What is the direction of the resultant vector after adding two equal and opposite vectors?
Theortically, should be the same.
What are the similarities between vectors and complex numbers?
If you add two complex numbers, the resulting complex number is equivalent to the vector resulting from adding the two vectors. If you multiply two complex numbers, the resulting complex number is equivalent to the vector resulting from the cross product of the two vectors.
What is the sum of to vectors?
A variety of mathematical operations can be performed with and upon vectors. One such operation is the addition of 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. Recall in our discussion of Newton's laws of motion, that the net force experienced by an object was determined by computing the vector sum of all the individual forces acting upon that object. That is the net force was the result (or resultant) of adding up all the force vectors. During that unit, the rules for summing vectors (such as force vectors) were kept relatively simple. Observe the following summations of two force vectors:
What are the methods for combining two vectors that are not in the same line?
I assume you mean adding vectors? Graphical: Draw them head-to-tail. Move the vectors around without rotating them. Analytically: Separate the vectors into components. For example, in two dimensions, separate them into x and y components. Add the numbers for each dimension.
