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No. Their magnitudes are equal (that's why they're "unit" vectors),
but their directions are different.
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∙ 11y ago
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Can the directions of the sum of two two vectors be equal to the directions of difference of two vectors?
Yes.
When is a cross product zero?
When the component vectors have equal or opposite directions (sin(Θ) = 0) i.e. the vectors are parallel.
The sum of two vectors is a minimum when the angle between them is what?
180 degrees. Then the sum of the two vectors has a magnitude equal to the difference of their individual magnitudes.
What is parallelogram law of vectors?
"If two vector quantities are represented by two adjacent sides or a parallelogram then the diagonal of parallelogram will be equal to the resultant of these two vectors."
What is the angle between two vectors if their sum is to be maximum?
The resultant vector has maximum magnitude if the vectors act in concert. That is, if the angle between them is 0 radians (or degrees). The magnitude of the resultant is the sum of the magnitudes of the vectors.For two vectors, the resultant is a minimum if the vectors act in opposition, that is the angle between them is pi radians (180 degrees). In this case the resultant has a magnitude that is equal to the difference between the two vectors' magnitudes, and it acts in the direction of the larger vector.At all other angles, the resultant vector has intermediate magnitudes.
What are unit vectors?
a unit vector is a vector which has exact same direction and has its length or magnitude equal to one
What are unit vectors used for in real life?
In real life unit vectors are used for directions, e.g east, north and up(zenith). The unit vector specifies the direction. Gyroscopes maintain a direction and keep things level. Whenever and where ever location is important, unit vectors are a part of real life. Whenever directions are important in your real life, then unit vectors are important. If everything was confined to move along a straight line, then unit vectors would not be important. If you can move in a plane, then unit vectors are important. Moving in space, unit vectors are more important. cars, ships and planes all move in space. Controlling and tracking these all involve unit vectors.
When do we use vector algebra in daily life?
In real life unit vectors are used for directions, e.g east, north and up. The unit vector specifies the direction. Gyroscopes maintain a direction and keep things level. Whenever and where ever location is important, unit vectors are a part of real life. Whenever directions are important in your real life, then unit vectors are important. If everything was confined to move along a straight line, then unit vectors would not be important. If you can move in a plane, then unit vectors are important. Moving in space, unit vectors are more important. cars, ships and planes all move in space. Controlling and tracking these all involve unit vectors.
What is the difference between orthogonal and orthonormal vectors?
All vectors that are perpendicular (their dot product is zero) are orthogonal vectors.Orthonormal vectors are orthogonal unit vectors. Vectors are only orthonormal if they are both perpendicular have have a length of 1.
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.
Can you add equal vectors?
Yes, you can add vectors of equal length. Make sure they are equal by both of them having the same magnitude and direction. Otherwise, you can add equal vectors.
What circumstances will three vectors be equal in magnitude?
If they all have the same norm.
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.
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.
Can the sum of two vectors be equal to either of the vectors explain?
Yes, if one of the vectors is the null vector.
Can the sum of two equal vectors be equal to either of the vectors?
Only if one of them has a magnitude of zero, so, effectively, no.
When the angle between two vectors is equal to zero?
When the angle between two vectors is zero ... i.e. the vectors are parallel ... their sum is a vector in thesame direction, and with magnitude equal to the sum of the magnitudes of the two original vectors.
