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What else can I help you with?
Is power scalar quantity?
Power can be scalar or vector, e.g d/dt torque = vector power; d/dt mcV = mcA a vector power.
What phrase describes speed A. A quantity with direction only B. A quantity with no units C. A vector quantity D. A scalar quantity?
A. A quantity with direction only - This phrase describes speed as it is a scalar quantity, meaning it has magnitude but no direction.
Why vector quantities are not divisible?
I'll assume you are referring to the inverse of the most common process of vector multiplication, namely the formation of an inner product, also called a scalar product or dot product, between two vectors of the same size. In this operation, vectors with, for example, components (a,b,c,d) and (e,f,g,h) must be pairwise multiplied and summed, to arrive at the scalar result ae + bf + cg + dh. Any two ordinary vectors of matching size (number of components) can be "multiplied" to get an inner product. (There is another kind of multiplication of two 3-vectors called the cross-product, which is sometimes invertible, but because the cross-product only works with two vectors in 3-space, it does not seem useful to discuss the cross-product further in the context of general vector division. Similarly, one could individually multiply the components of the two vectors to get a sort of third vector. Although that operation would be invertible under some conditions, I am not aware of any meaning, or physical significance, for the use of that technique. Since the result of taking the inner product of two vectors is a scalar, that is, a single real number, most of the information about the two vectors is lost during the computation. The only information retained by the inner product is the magnitude of the projection of one vector A onto the direction of another vector B, multiplied by the magnitude of B. But division is the inverse operation of multiplication. In a sense, division undoes the work of a previous multiplication. Since all information about the direction of each vector is discarded during the calculation of an inner product, there is not enough information remaining to uniquely invert this operation and bring back, say, vector A, knowing vector B and the value of the scalar product.
Why is Acceleration vector quantity?
That simply means that the direction of the acceleration is relevant. For example, if something is moving in the "forward" direction, it isn't the same if we accelerate it forward, backward, or sideways. The results are different.Also, acceleration is calculated as dv/dt, meaning you divide a velocity difference by a time. Since velocity is itself a vector, acceleration is also a vector.
Is power vector or scalar?
Power is the time derivative of energy, E. Energy can be scalar or vector. Thus power can be scalar or vector. Energy is a quaternion and consists of a scalar or real part Er and a vector part Ev. Energy E=Er + Ev, for example E= FR = -F.R + FxR = -FRCos(x) + FRsin(x). The real part is a scalar called "Energy" and the vector part is called "Torque" but has the same units Joules. Energy is defined by the units. P=dE/dt = d(Er + Ev)/dt = dEr/dt + dEv/dt = Pr + Pv. Power can be a scalar or a vector or both.
The figure shows two vector B and C along with magnitude and direction . D is given by D =B -C. What is the magnitude of vector of D What angle does vector D make with the +x-axis?
Nothing
Is power scalar quantity?
Power can be scalar or vector, e.g d/dt torque = vector power; d/dt mcV = mcA a vector power.
How to find the direction of vector A by its x and y components?
Consider any two points on the vector, P = (a, b) and Q = (c, d). And lext x be the angle made by the vector with the positive direction of the x-axis. Then either a = c, so that the vector is vertical and its direction is straight up or a - c is non-zero. In that case, tan(x) = (b - d)/(a - c) or x = tan-1[(b - d)/(a - c)]
In math terms what does cross products mean?
The meaning depends on the context. I can think of at least three different meanings for cross products.In solving fractional equations, it means equating the product of the left numerator and the right denominator with the product of the right numerator and the left denominator.More simply, if a/b = c/d then a*d = b*c where a, b, c and d can be numbers or algebraic expressions.In the context of multiplying polynomials - particularly binomials - the cross product terms are those involving terms that are not "like" terms.So, for example, (ax+b)*(cx+d) = abx2 + adx + bcx + bd. abx2 is the product of multiplying the "x-terms" while bd is the product of the constant terms so neither is a cross product term but adx = ax*d and bcx = b*cx involve muliplying unlike terms together and so they are cross products.In vector algebra, the cross product of two vectors, aand b is a vector whose magnitude (size) is equal to the area of the parallelogram created by the vectors and whose direction is perpendicular to the plane of the two vectors. Whether the cross product vector goes along that perpendicular in one direction or its opposite is given by the right hand rule. Point the index finger of the right hand in the direction of the first vector, the middle finger in the direction of the second. Then the extended thumb points in the direction of the resultant.
What is displacement and its examples?
is a vector quantity ,difference between two position and it has both magnitude an d direction
What phrase describes speed A. A quantity with direction only B. A quantity with no units C. A vector quantity D. A scalar quantity?
A. A quantity with direction only - This phrase describes speed as it is a scalar quantity, meaning it has magnitude but no direction.
Dot and cross product between 3D and 4D?
here are the possible answers: A) A tridimensional vector B) A 4D vector C) A 5D vector D) An scalar number E) It is undefined
Why vector quantities are not divisible?
I'll assume you are referring to the inverse of the most common process of vector multiplication, namely the formation of an inner product, also called a scalar product or dot product, between two vectors of the same size. In this operation, vectors with, for example, components (a,b,c,d) and (e,f,g,h) must be pairwise multiplied and summed, to arrive at the scalar result ae + bf + cg + dh. Any two ordinary vectors of matching size (number of components) can be "multiplied" to get an inner product. (There is another kind of multiplication of two 3-vectors called the cross-product, which is sometimes invertible, but because the cross-product only works with two vectors in 3-space, it does not seem useful to discuss the cross-product further in the context of general vector division. Similarly, one could individually multiply the components of the two vectors to get a sort of third vector. Although that operation would be invertible under some conditions, I am not aware of any meaning, or physical significance, for the use of that technique. Since the result of taking the inner product of two vectors is a scalar, that is, a single real number, most of the information about the two vectors is lost during the computation. The only information retained by the inner product is the magnitude of the projection of one vector A onto the direction of another vector B, multiplied by the magnitude of B. But division is the inverse operation of multiplication. In a sense, division undoes the work of a previous multiplication. Since all information about the direction of each vector is discarded during the calculation of an inner product, there is not enough information remaining to uniquely invert this operation and bring back, say, vector A, knowing vector B and the value of the scalar product.
Why is Acceleration vector quantity?
That simply means that the direction of the acceleration is relevant. For example, if something is moving in the "forward" direction, it isn't the same if we accelerate it forward, backward, or sideways. The results are different.Also, acceleration is calculated as dv/dt, meaning you divide a velocity difference by a time. Since velocity is itself a vector, acceleration is also a vector.
How do you find a normal vector?
A normal vector is a vector that is perpendicular or orthogonal to another vector. That means the angle between them is 90 degrees which also means their dot product if zero. I will denote (a,b) to mean the vector from (0,0) to (a,b) So let' look at the case of a vector in R2 first. To make it general, call the vector, V=(a,b) and to find a vector perpendicular to v, i.e a normal vector, which we call (c,d) we need ac+bd=0 So say (a,b)=(1,0), then (c,d) could equal (0,1) since their dot product is 0 Now say (a,b)=(1,1) we need c=-d so there are an infinite number of vectors that work, say (2,-2) In fact when we had (1,0) we could have pick the vector (0,100) and it is also normal So there is always an infinite number of vectors normal to any other vector. We use the term normal because the vector is perpendicular to a surface. so now we could find a vector in Rn normal to any other. There is another way to do this using the cross product. Given two vectors in a plane, their cross product is a vector normal to that plane. Which one to use? Depends on the context and sometimes both can be used!
Is power vector or scalar?
Power is the time derivative of energy, E. Energy can be scalar or vector. Thus power can be scalar or vector. Energy is a quaternion and consists of a scalar or real part Er and a vector part Ev. Energy E=Er + Ev, for example E= FR = -F.R + FxR = -FRCos(x) + FRsin(x). The real part is a scalar called "Energy" and the vector part is called "Torque" but has the same units Joules. Energy is defined by the units. P=dE/dt = d(Er + Ev)/dt = dEr/dt + dEv/dt = Pr + Pv. Power can be a scalar or a vector or both.
How is distance and direction affect work?
Work is the product of force and distance, or w = F x d. Now, theoretically, if you push an object 100 yards to the east, and then turn it around and push it 100 yards back to the staring point, you did NO work, because distance has a vector component. But, if you just push it in one direction only, the work done will be the product of the force applied times the distance moved.
