The components of a vector can never have a magnitude greater than the vector itself. This can be seen by using Pythagorean’s Thereom. There is a situation where a component of a vector could have a magnitude that equals the magnitude of the vector. e.g. A=2x + 0y.
Can the magnitude of the rectangular component of a vector be greater than the magnitude of the vector itself explain with example?
No. The rectangular components of a vector A has values A cosθ and A sinθ. Since the values of cosθ and sinθ can never be greater than one, hence the value of any rectangular components of a vector can never be greater than the given vector.
A vector cannot have a component greater than the vector’s magnitude. Magnitude of the vector is sum of the components of the vectors.
Can the magnitude of a vector be less than one of its components?
The magnitude of a vector can never be less than the magnitude of any of its components. The magnitude of a vector an only zero if all of its components are zero. The eastward component of vector A is equal to the westward component of vector B and their northward components are equal.
A vector can be split into infinite components (but only 3 orthogonal ones) Was this answer helpful?
Is it possible for a force to have a component larger in magnitude than the force itself?
No. It isn’t possible. At the best case, you can find that one of them equals the magnitude. But it is not possible for any component to be larger than the it.
Can a magnitude of a vector be negative?
Answer: Magnitude cannot be negative. It is the length of the vector which does not have a direction (positive or negative). In the formula, the values inside the summation are squared, which makes them positive.
Under what circumstances would a vector have components equal in magnitude?
A component may be equal to the vector when magnitude of one of the component is zero.
Can a vector have zero magnitude if one of its components is not zero?
A vector with zero magnitude cannot have non-zero components . Because magnitude of given vector ˉV=√V2x+V2y must be zero . This is possible only when V2x and V2y are zero.
Can the magnitude of the resultant of two vectors be smaller than the magnitude of either of them?
No. The magnitude of the sum can be equal to the sum of the magnitudes, if the vectors have the same direction. If they don’t, then the magnitude of the sum will be less than the sum of the magnitudes.
Can the magnitude of the resultant vector of two given vectors be less than the magnitude of any of the given vectors?
Reason: The magnitude of the resultant vector of two given vectors can never be less than the magnitude of any of the given vector.
Can the magnitude of the resultant vector of two given vectors be less than the magnitude of any of the given vectors explain with examples?
Yes, if the angle between the two vectors is greater than 90∘.
Can a vector have more than two components?
Any vector directed in two dimensions can be thought of as having two different components.
What is the maximum no of components into which a vector can be split a two B three C Four D any no of components?
(EXPLANATION :-A vector can be split into infinite number of components.
What is the maximum no of components into which force can be resolved?
That single force can be resolved into two components ” one directed upwards and the other directed rightwards.
Can a unit vector have any components with magnitude greater than unity can it have any negative components in each case justify your answer?
No, a rectangular component canot be greater than a vector itself.
Can a unit vector have any components with magnitude greater than unity?
Hence unit vector can not have magnitudes greater than 1.
How do you find the magnitude of a vector?
Is a vector of the same magnitude equal what is a negative of a vector?
Two vectors are equal if they have the same magnitude and the same direction. Just like scalars which can have positive or negative values, vectors can also be positive or negative. A negative vector is a vector which points in the direction opposite to the reference positive direction.
Can a magnitude of a scalar be negative?
Now, as the real numbers include both, positive numbers as well as negative numbers, a scalar can be negative. Now, in physics, the magnitude of a physical quantity is expressed by some magnitude or say numerical value and a unit.
Can the magnitude of current be negative?
Magnitudes are defined to be non-negative. So no.
Can a component of a vector ever equal the vector’s magnitude if not why not if it is possible state an example?
The components of a vector can never have a magnitude greater than the vector itself. This can be seen by using Pythagorean’s Thereom. There is a situation where a component of a vector could have a magnitude that equals the magnitude of the vector. e.g. A=2x + 0y.
Under what conditions does the resultant vector have a magnitude equal to a B?
Answer. If both ‘A and ‘B is in the same direction then the resultant vector has a magnitude equal to A+B. If both vectors has opposite direction and equal magnitude i.e. θ=180∘ and A=B.
Under what circumstances does the rectangular component of a vector have the same magnitude?
Answers. The magnitude of the two components will be equal if the vector makes an angle of 45° with the x-axis.
Can the magnitude of vector may be zero?
Simply , no the vector cannot have magnitude of zero but if its component are non zero.
Can the magnitude of a resultant vector be less than the magnitude of any of its components Brainly?
Answer. Answer: Can the magnitude of the reultant vector of two given vectros be less than the magitude of any of the given vector ? Solution : Yes, if the angle between the two vectors is more then `90^(@)` but less than ` 270^(@), because in that case ` cos theta` is negative.
Can the magnitude of resultant of two vector?
The magnitude of the resultant of two equal vectors is equal to the magnitude of either vector.
What will happen if all components of a vector are reversed in direction?
What will happen if all components of a vector are reserved in direction? When all the components such as A1 and A2 are reversed there will be no effect on these components.
How are A and B oriented relative to one another?
If A + B = C and a2+b2=c2, then the vectors A and B are oriented perpendicular relative to one another. If A + B = 0, then the vectors A and B have equal magnitudes and are directed in the same direction. If A ” B = 0, then the vectors A and B have equal magnitudes and are directed in the same direction.
How is the difference of two vectors obtained?
The difference of two vector x=b’a is formed by placing the tails of the two vectors together. Then, the vector x goes from the head of a to the tail of b.
What is a resultant vector?
The resultant is the vector sum of two or more vectors. It is the result of adding two or more vectors together. If displacement vectors A, B, and C are added together, the result will be vector R. As shown in the diagram, vector R can be determined by the use of an accurately drawn, scaled, vector addition diagram.
What is the difference between scalar and vector?
Scalars are quantities that are fully described by a magnitude (or numerical value) alone. Vectors are quantities that are fully described by both a magnitude and a direction.
Is vector addition commutative?
From the law of vector addition pdf, vector addition is commutative in nature i.e. Similarly, if we need to subtract both the vectors using the triangle law then we simply reverse the direction of any vector and then add it to another one as shown below.
Can a vector have more than 3 components?
It is dangerous to say, that a vector can be a set of ordered numbers. A vector is actually defined with some properties in mind. A set of ordered numbers (i.e. the capacities of three capacitors (C1,C2,C3)) will in general NOT fulfill the required properties!
Can a vector have infinite components?
A vector can be split into infinite components (but only 3 orthogonal ones) Was this answer helpful?
Can a vector have 4 components?
In special relativity, a four-vector (or 4-vector) is an object with four components, which transform in a specific way under Lorentz transformation.
What are the maximum number of rectangular components of a vector?
A vector can be split maximum into 2 rectangular components in its own plane, which are Vcosθ and Vsinθ.
What is the maximum number of rectangular components into which a vector can be split into space?
In 3-D space, a vector can be split into a maximum of 3 orthogonal/rectangular components.
Is it possible for a force to have a component larger in magnitude than the force itself?
No. It isn’t possible. At the best case, you can find that one of them equals the magnitude. But it is not possible for any component to be larger than the it.
Under what circumstances would a vector have components equal in magnitude?
A component may be equal to the vector when magnitude of one of the component is zero.
Can a unit vector have negative components?
Vectors are only negative with respect to another vector. … The magnitude, or length, of a vector, cannot be negative; it can be either be zero or positive. The negative sign is used here to indicate that the vector has the opposite direction of the reference vector.
Is IJKA a unit vector?
A vector that has a magnitude of 1 is a unit vector. It is also known as a direction vector because it is generally used to denote the direction of a vector. The vectors i, j, k, are the unit vectors along the x-axis, y-axis, and z-axis respectively.
How do you find the magnitude of a vector with I and J and K?
How do you find the magnitude and angle of a vector?
What is magnitude in a vector?
The magnitude of a vector is the length of the vector. The magnitude of the vector a is denoted as ∥a∥.