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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.
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∙ 15y ago
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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.
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.
Is direction is important for equal vectors?
Equal vectors are vectors having same direction of action or orientation as well as same magnitude. If two or more vectors have same magnitude but different direction then they cannot be called equal vectors. This shows that direction is important for equal vectors.
What is the direction of the resultant vector after adding two equal and opposite vectors?
The resultant vector will have a magnitude of zero because the two equal and opposite vectors cancel each other out. The direction of the resultant vector will be indeterminate or undefined.
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.
Displacement vectors of 3m and 5m in the ssme direction combine to make a displacement vectors that is in magnitude?
The combined displacement vector will have a magnitude of 8m. This is found by simply adding the magnitudes of the two original displacement vectors together (3m + 5m = 8m), since they are in the same direction.
Can the resultant of two vectors be 0?
Yes, but only if the size of the two vectors are the same but their direction is opposite.
When are two vectors said to be equal?
If two vectors are represented by the same magnitude and direction they are said to be equal.
When is the sum of the magnitudes of two vectors equal to the magnitude of the sum of the vectors?
When the vectors are parallel, i.e. both have the same direction.
When are magnitudes of two vectors added?
The magnitudes of two vectors are added when the vectors are parallel to each other. In this case, the magnitude of the sum is equal to the sum of the magnitudes 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.
What is an equivalent vector?
Two vectors having same magnitude but different direction are called equivalent vectors.
