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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
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.
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 does the addition of 2 vectors give you?
Adding two vectors results in a new vector that represents the combination of the two original vectors. The new vector is defined by finding the sum of the corresponding components of the two vectors.
Can the sum of two vectors be equal to either of vectors Explain?
No, the sum of two vectors cannot be equal to either of the vectors. Adding two vectors results in a new vector, with a magnitude and direction that is determined by the individual vectors being added.
Two vectors of unequal magnitude can their sum be zero?
No, two vectors of unequal magnitude cannot have a sum of zero. The resultant of adding two vectors is determined both by their magnitudes and directions. If the vectors have unequal magnitudes, the resultant vector will have a magnitude that is at least as large as the larger of the two original 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.
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)
Is it possible to add any 2 vectors?
Yes, it is possible to add any two vectors as long as they have the same number of dimensions. The result of adding two vectors is a new vector whose components are the sum of the corresponding components of the original vectors.
If two vectors are perpendicular to each other then the resultant what?
If two vectors are perpendicular to each other, their dot product is zero. This means that the resultant of the two vectors is the magnitude of one of the vectors, as the angle between them is 90 degrees, resulting in a right triangle.
Two or more vectors combine to form an?
The combination of two or more vectors results in a new vector known as the resultant vector. This resultant vector is found by adding or subtracting the individual vectors' magnitudes and directions.
Which operation gives a resultant vector?
adding two or more vectors
