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How do you add two null vectors by following vector laws of addition?
Faizanahemad
The sum of two null vectors is a null vector. And since a direction is not relevant for a null vector, the resultant has no direction either.
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∙ 14y ago
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Why is scalar product two vectors a scalar?
Scalar product of two vectors is a scalar as it involves only the magnitude of the two vectors multiplied by the cosine of the angle between the vectors.
What is 8 divided by 2 plus 3 times 8 plus 5?
Following the laws of mathematics, in this case the division will be done first, then the multiplication and then the addition. 8 ÷ 2 + 3 x 5 = 19
What are th 4 fundamental laws in mathematics?
The Law of 4 Laws of addition and multiplication Commutative laws of addition and multiplication. Associative laws of addition and multiplication. Distributive law of multiplication over addition. Commutative law of addition: m + n = n + m . A sum isn't changed at rearrangement of its addends. Commutative law of multiplication: m · n = n · m . A product isn't changed at rearrangement of its factors. Associative law of addition: ( m + n ) + k = m + ( n + k ) = m + n + k . A sum doesn't depend on grouping of its addends. Associative law of multiplication: ( m · n ) · k = m · ( n · k ) = m · n · k . A product doesn't depend on grouping of its factors. Distributive law of multiplication over addition: ( m + n ) · k = m · k + n · k . This law expands the rules of operations with brackets (see the previous section).
What are the laws sign number?
first,addition;add all,subtraction;subtract all;multiplication;multiply all,division;divide all
What are the laws of sign numbers?
first,addition;add all,subtraction;subtract all;multiplication;multiply all,division;divide all
Does the order of addition of indivitual vectors affect the final resultant vector and why?
No, the order of addition of individual vectors does not affect the final resultant vector as vector addition is commutative. This means that the final result will be the same regardless of the order in which the vectors are added.
Do the commutative and associative laws apply to vector subtraction?
No, changing order of vectors in subtraction give different resultant so commutative and associative laws do not apply to vector subtraction.
How can a null vector be a vector if there is no direction?
A null vector does not have a direction but still satisfies the properties of a vector, namely having magnitude and following vector addition rules. It is often used to represent the absence of displacement or a zero result in a vector operation.
What is the sum of to vectors?
A variety of mathematical operations can be performed with and upon vectors. One such operation is the addition of vectors. Two vectors can be added together to determine the result (or resultant). This process of adding two or more vectors has already been discussed in an earlier unit. Recall in our discussion of Newton's laws of motion, that the net force experienced by an object was determined by computing the vector sum of all the individual forces acting upon that object. That is the net force was the result (or resultant) of adding up all the force vectors. During that unit, the rules for summing vectors (such as force vectors) were kept relatively simple. Observe the following summations of two force vectors:
What are the characteristics of vector quantity?
Vector quantities have both magnitude and direction. They follow the laws of vector addition, where both the magnitude and direction of each vector must be considered. Examples of vector quantities include velocity, force, and acceleration.
Is every tensor is a vector?
No. A vector is actually a first order tensor as opposed to all tensors being vectors (vector quantities could be considered a subset of the set of all tensor quantities) because if you were to take a vector in three spatial dimensions A it can be defined by the equation A=A1e1+A2e2+A3e3 and also follows the tensor transformation laws given by A'i=αi'kAk for instance. Tensors however are actually more generalised objects which include vectors, scalars (zeroth order tensors) and more complicated systems.
Can vectors be added through simple arithematic addition?
Yes. Vectors follow the same laws as simple scalars. For example A + B = C ; (A1 + A2) + (B1 +B2) = (A1 + B1) + (A2 + B2) = C1 + C2 where C1 = A1 + B1 and C2 = A2 + B2.
Why is scalar product two vectors a scalar?
Scalar product of two vectors is a scalar as it involves only the magnitude of the two vectors multiplied by the cosine of the angle between the vectors.
Which of the following are laws NOT associated with ancient Rome?
You need to say what the following laws are.
Is energy a vector?
No, it is a scalar. Energy is the capacity to do work. Answer2: Yes. Energy is a scalar and a vector. Energy is a Quaternion quantity consisting of a scalar and three vectors, forming a 4D quantity.Early scientists started with scalar quantities. With Faraday's field theory (directed lines), vectors came into physics. However, the early definition of energy as scalar persisted to this day. Vector energy is all around us, but we are blinded by dogma. F.D is called energy, but FxD is vector energy but is called Torque. I think we are about to lift the blindness. "Dark Energy" in Astronomy is vector energy. The Dark Energy is cmV = cP. Here is vector energy, Momentum energy. Momentum is a vector and Momentum energy cP is also a vector. A scalar c times a vector is a vector ! If there is vector momentum, there must be vector energy! The correct Equation off Gravitation Energy is E = -mGM/r + mcV = -mu/r + cP. Newton did not include the vector energy cP=cmV. This was equivalent to saying the mass m, had velocity zero , E= -mu/r + mc0. Such is NOT the case. This is like saying the earth is orbiting the sun with velocity 0, when it is moving at 30km/s. it is the vector energy cmV that provides the centrifugal force to keep the earth from falling into the sun. It is the vector energy that is the "dark Energy" that is the anti-gravity (centrifugal) force. Vector Energy removes teh mystery of "Dark Energy". Newton's Three laws are derived from this vector energy, that Newton incorporated. Force F = XE = [d/dr, DEL] m[-u/r , cV] F = m[v2/r - cDEL.V, cdV/dr +u/r3 R + cDELxV] At Equilibrium 0 = F and DELxV=0 meaning R and V are parallel and. It is essential that DELxV =0 for the vectors to sum to zero. The result is 0 = m[v2/r - cv/r, cdV/dr + u/r3 R ] Equilibrium Condition exists when v/c=1 or v=c. Newton's Equal and Parallel phrase comes form 0 = m(dV/dt + u/r3 R) comes from 0 = cdV/dr - DEL u/r Newto added the term 'mdV/dt' a vector, before vectors, This term is the vector energy P=cmV and dcP/dr = cmdV/cdt = mdV/dt, voila! It is time to recognize that we live in a 4D Universe and Energy is a 4D Quantity.
What do Newton's three laws state?
1. Every object in a state of uniform motion tends to remain in that state of motion unless an external force is applied. 2. The relationship between an object's mass (m), it's acceleration (a), and the applied force (F) is F=ma. Acceleration and force are vectors; in this law the direction of the force vector is the same as the direction of the acceleration vector. 3. For every action there is an equal and opposite reaction.
Why do projectiles move in a curve?
After leaving the gunbarrel, the only force preventing straight line motion is gravity, the result is (apart from firing straight up) a flight path in the form of a parobolic curve. Using the launch angle and velocity, break into horiontal and vertical velocity vectors. Horizontal velocity vector is contant horizontal velocity. Vertical velocity vector will obey newtons laws up and down Using time intervals, you can plot the curve.
