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Can you add vector like scalars or not?
No. Because vectors have direction as well as magnitude, you must take the direction into account when you add them. Example: Vector A parallel to [0,0; 0,4] Vector B parallel to [0,0; 3,0] These vectors are at right angles to each other Vector A has a magnitude of 4, Vector B an magnitude of 3. A + B = has a magnitude of 5, parallel to [0,0;3,4]
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.
When are vectors and said to be parallel and anti-parallel?
Vectors are said to be parallel if they point in the same direction and have the same or proportional magnitude, meaning one vector can be expressed as a scalar multiple of the other with a positive scalar. Conversely, vectors are considered anti-parallel if they point in opposite directions, which occurs when one vector can be expressed as a negative scalar multiple of the other. In both cases, the vectors lie along the same line of action.
Why can vectors be used to represent forces?
A vector is a quantity with magnitude and direction. Since force has magnitude and direction, it is a vector
What are vectors?
A vector is something which has both magnitude and direction. Examples include velocity which is speed (magnitude) in a given direction. When written using orthogonal components vectors are written as a column of numbers in parentheses (a one-dimensional array).
Can you add vector like scalars or not?
No. Because vectors have direction as well as magnitude, you must take the direction into account when you add them. Example: Vector A parallel to [0,0; 0,4] Vector B parallel to [0,0; 3,0] These vectors are at right angles to each other Vector A has a magnitude of 4, Vector B an magnitude of 3. A + B = has a magnitude of 5, parallel to [0,0;3,4]
What is the relationship between the components of a vector and the unit vectors in a given coordinate system?
In a given coordinate system, the components of a vector represent its magnitude and direction along each axis. Unit vectors are vectors with a magnitude of 1 that point along each axis. The relationship between the components of a vector and the unit vectors is that the components of a vector can be expressed as a combination of the unit vectors multiplied by their respective magnitudes.
What two vectors does a vector have?
It has both velocity and direction. A vector has direction and magnitude.
What is the resultant vector?
The resultant vector is the vector that represents the sum of two or more vectors. It is calculated by adding the corresponding components of the vectors together. The magnitude and direction of the resultant vector depend on the magnitudes and directions of the individual vectors.
When do you get a magnitude of 0 in vector?
The magnitude of a vector is 0 if the magnitude is given to be 0.The magnitude of the resultant of several vectors in n-dimensional space is 0 if and only if the components of the vectors sum to 0 in each of a sewt of n orthogonal directions.
Vector component greater than the vectors magnitude?
can a vector have a component greater than the vector magnitude
Is A plus B equals 0 what can you say about the components of the two vectors?
If A + B = 0, this means that vector A is equal in magnitude but opposite in direction to vector B. In other words, the two vectors are anti-parallel to each other. This relationship indicates that the components of the two vectors cancel each other out when added together, resulting in a net vector of zero.
Is the sum of two vectors of equal magnitude equal to the magnitude of either vectors AND their difference root 3 times the magnitude of each vector?
No, the statement is incorrect. The sum of two vectors of equal magnitude will not equal the magnitude of either vector. The sum of two vectors of equal magnitude will result in a new vector that is larger than the original vectors due to vector addition. The magnitude of the difference between the two vectors will be smaller than the magnitude of either vector.
Under what circumstances can a vector have components that are equal in magnitude?
(Magnitude of the vector)2 = sum of the squares of the component magnituides Let's say the components are 'A' and 'B', and the magnitude of the vector is 'C'. Then C2 = A2 + B2 You have said that C = A, so C2 = C2 + B2 B2 = 0 B = 0 The other component is zero.
Formula to calculate magnitude of the resultant vector?
Magnitude of the resultant vector = Square root of[ (sum of x-components of all component vectors)2 plus(sum of y-components of all component vectors)2plus (sum of z-components of all component vectors)2 ]
How do you add Vectors By rectangular components?
INTRODUCTIONRectangular component method of addition of vectors is the most simplest method to add a number of vectors acting in different directions.DETAILS OF METHODConsider two vectors making angles q1 and q2 with +ve x-axis respectively.STEP #01Resolve vector into two rectangular components and .Magnitude of these components are:andSTEP #02Resolve vector into two rectangular components and .Magnitude of these components are:andFor latest information , free computer courses and high impact notes visit : www.citycollegiate.comSTEP #03Now move vector parallel to itself so that its initial point (tail) lies on the terminal point (head) of vector as shown in the diagram.Representative lines of and are OA and OB respectively.Join O and B which is equal to resultant vector of and STEP #04Resultant vector along X-axis can be determined as:STEP # 05Resultant vector along Y-axis can be determined as:STEP # 06Now we will determine the magnitude of resultant vector.In the right angled triangle DBOD:HYP2 = BASE2 + PERP2STEP # 07Finally the direction of resultant vector will be determined.Again in the right angled triangle DBOD:Where q is the angle that the resultant vector makes with the positive X-axis.In this way we can add a number of vectors in a very easy manner.This method is known as ADDITION OF VECTORS BY RECTANGULAR COMPONENTS METHOD. For latest information , free computer courses and high impact notes visit : www.citycollegiate.com
Can the magnitude of the difference between two vectors ever be greater than the magnitude of either vector?
Yes, the magnitude of the difference between two vectors can be greater than the magnitude of either vector. This can occur when the vectors are in opposite directions or have different magnitudes such that the resulting difference vector is longer than either of the original vectors.
