0
What else can I help you with?
What are combined vectors that go in one direction?
true
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.
What are non proportional vectors?
Non-proportional vectors are vectors that do not have a constant scalar multiple relationship between them. In other words, they do not lie on the same line or in the same direction. Non-proportional vectors are linearly independent and have different magnitudes and directions.
What is the term given to vectors that dont lie in a straight line but instead point in different directions?
The term for vectors pointing in different directions is called linearly independent vectors. These vectors do not lie on the same line or plane, and they provide unique information to describe a space.
What displacement vectors of 3 meters and 5 meters in the same direction combine to make a displacement vector?
The combined displacement vector would be 8 meters in the same direction as the individual vectors, as you simply add the magnitudes of the vectors together.
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.
Why can't we add or subtract vectors like scalars?
Because scalars do not take in the direction but just the magnitude while vectors can. You can add vectors ONLY if they are in the same direction.
What are combined vectors that go in one direction?
true
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.
What is the difference between coplanar vectors and collinear vectors?
Coplanar vectors lie within the same plane, meaning they can be represented by arrows with their tails at the same point. Collinear vectors, on the other hand, lie along the same line, meaning they have the same or opposite directions. In essence, coplanar vectors can be parallel or intersecting within the same plane, while collinear vectors are always parallel or antiparallel along the same line.
What are non proportional vectors?
Non-proportional vectors are vectors that do not have a constant scalar multiple relationship between them. In other words, they do not lie on the same line or in the same direction. Non-proportional vectors are linearly independent and have different magnitudes and directions.
Can two vectors of same magnitude add to give zero resultant vector?
Yes.
What is the term given to vectors that dont lie in a straight line but instead point in different directions?
The term for vectors pointing in different directions is called linearly independent vectors. These vectors do not lie on the same line or plane, and they provide unique information to describe a space.
Can the resultant magnitude of 2 vectors be smaller than either of the vectors?
Yes. As an extreme example, if you add two vectors of the same magnitude, which point in the opposite direction, you get a vector of magnitude zero as a result.
What displacement vectors of 3 meters and 5 meters in the same direction combine to make a displacement vector?
The combined displacement vector would be 8 meters in the same direction as the individual vectors, as you simply add the magnitudes of the vectors together.
Can three vectors not in one plane give zero resultant?
No. For three vectors they must all lie in the same plane. Consider 2 vectors first. For them to resolve to zero, they must be in opposite direction and equal magnitude. So they will lie along the same line. For 3 vectors: take two of them. Any two vectors will lie in the same plane, and their resultant vector will also lie in that plane. Find the resultant of the first two vectors, and the third vector must be along the same line (equal magnitude, opposite direction), in order to result to zero. Since the third vector is along the same line as the resultant vector of the first two, then it must be in the same plane as the resultant of the first two. Therefore it lies in the same plane as the first two.
Can the resultant of two vectors of the same magnitude be equal to the magnitude of either of the vectors?
Magnitude? Yes. Simple answer: think of it as a triangle. Can a triangle have three sides of the same length? Yes. Long answer: there really isn't a long answer. To get the resultant of two vectors, one would add up the components of each vector. While it is impossible to add two vectors of the same magnitude and derive a resultant of the same magnitude AND DIRECTION as one of the vectors, one need only to create a directional difference of exactly 60 degrees between the first two vectors to result in a resultant of like magnitude. Math really is the most perfect language. Vectors are to triangles what optics are to to the study of conics!
