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What is the product of vector and scalar?
The product of a vector and a scalar is a new vector whose magnitude is the product of the magnitude of the original vector and the scalar, and whose direction remains the same as the original vector if the scalar is positive or in the opposite direction if the scalar is negative.
Find the scalar multiple of a vector?
by this do you means*Vwhere s is the scalar and V is the vector?if V = ai + bj + ck thens*V = (s*a)i + (s*b)j + (s*c)kwhere i, j and k are the unit vectors and a,b and c are constantsEssentially you just multiply each part of the vector by the scalar
If a quart of strawberries weigh 2 pounds how many quarts of strawberries would weigh .25 ton?
To convert pounds to tons, you need to divide by 2,000 since there are 2,000 pounds in a ton. Therefore, 0.25 tons is equal to 500 pounds. If a quart of strawberries weighs 2 pounds, then 500 pounds would be equal to 250 quarts of strawberries. So, 0.25 tons of strawberries would weigh 250 quarts.
What is meant by spin of the atomic particles as half and one?
Spin is the measure of the angle of the particle. The angle determines whether the particle is a scalar or a vector. Spin zero indicates a positive scalar; Spin 1/2 is pi/2 angle and indicates a positive vector; spin 1 is pi degrees and indicates a negative scalar; spin 3/2 indicates a negative vector.Physics Particles are Quaternions containing a scalar and vector parts, the unit quaternion is described as:cos(Angle) + v sin(Angle).Quantities in Physics are in general Quaternion, e.g. Gravitatioanl Energy W=-mu/r + cP.Bosons and Fermions represent pure scalars and Vectors with angle being multiples of pi or spin. spin is symbolic of 180 degrees spin zero is zero degrees. spin 1/2 is 90 degrees etc. When angles are not multiples of pi/2 the quantity is a Quaternion and contains a scalar (Boson) and Vector (Fermion).
How do you compare the units of work and kinetic energy?
Work and kinetic energy are defined as scalar energy and have the same units joules. dW=F.dr = (dP/dt) dr=dP(dr/dt) = dPv = vdP= mvdv W = F.r = mv^2/2. Physics has defined scalar energy but has no definition for vector energy mcV. Torque which is T= Fxr should be recognized as vector energy but it is defined as "Torque". This is another example of Physics not appreciating that the Universe is made of Quaternions, a Scalar part and a Vector part. E= FR = -F.R + FxR where the scalar energy has been defined as work (F.R) and the vector energy is defined as Torque FxR. Kinetic energy is a transformation of work in terms of mass and velocity versus force and distance. The vector energy is not called energy. See link: http://en.wikipedia.org/wiki/Torque
Can a scalar quantity be the product of 2 vector quantities?
No, a scalar quantity cannot be the product of two vector quantities. Scalar quantities have only magnitude, while vector quantities have both magnitude and direction. When two vectors are multiplied, the result is a vector, not a scalar.
Is a scalar a component of a vector?
Answer: A vector is always the product of 2 scalars
How do you add scalar?
To add a scalar to a vector, you simply multiply each component of the vector by the scalar and then add the results together to get a new vector. For example, if you have a vector v = [1, 2, 3] and you want to add a scalar 5 to it, you would calculate 5*v = [5, 10, 15].
Is it possible to multiply a vector quantity to a scalar quantity?
The product of scalar and vector quantity is scalar.
A vector of components ( and minus3 and minus2) is multiplied by the scalar value of -6. What is the magnitude and direction of the resultant vector?
To find the resultant vector when multiplying the vector components (3, -3, -2) by the scalar -6, we perform the scalar multiplication: (-6)(3, -3, -2) = (-18, 18, 12). The magnitude can be calculated using the formula ( \sqrt{(-18)^2 + (18)^2 + (12)^2} ), which equals ( \sqrt{1080} ) or approximately 32.8. The direction of the resultant vector is opposite to the original vector due to the negative scalar, meaning it points in the direction of the vector (-3, 3, 2).
What is the product of vector and scalar?
The product of a vector and a scalar is a new vector whose magnitude is the product of the magnitude of the original vector and the scalar, and whose direction remains the same as the original vector if the scalar is positive or in the opposite direction if the scalar is negative.
Diffrentiate between vector and scalar quantities?
Scalar quantities are defined as quantities that have only a mganitude. Vector quantities have magnitude and direction. Some example of this include Scalar Vector Mass Weight length Displacement Speed Velocity Energy Acceleration
Is the Cartesian coordinates a scalar or a vector or neither?
A vector is a magnitude with a direction, so if you have a line that is +2 on the x-axis and +2 on the y-axis, that would be a vector.
Is Asmospheric pressure a scalar or vector?
The answer is simple, define both a scalar: 1 variable, and a vector: 2 variables. Pressure is a force of space over time, therefore Asmospheric pressure is a vector since it applies both space and time using 2 variables.
Find the scalar multiple of a vector?
by this do you means*Vwhere s is the scalar and V is the vector?if V = ai + bj + ck thens*V = (s*a)i + (s*b)j + (s*c)kwhere i, j and k are the unit vectors and a,b and c are constantsEssentially you just multiply each part of the vector by the scalar
Is moment scalar or vector?
Is moment scalar or vector and why? Scalar has magnitude, but no direction. Vector has magitude and direction. Speed is a scalar. The car's speed is 25mi/hr. No direction is mentioned. Velocity is a vector. The car is traveling 25 mi/hr 20º North of East. Velocity is a vector, because it has magnitude and direction Moment has two meanings Moment of inertia = ∑ Mass* raidus^2 This moment measures how difficult it is to rotate an object. This moment is a scalar. Moment can also mean torque. Torque = Force x distance* sinθ (cross product). However torque can be clockwise or counter-clockwise. So torque is a vector.
Example of scalar and vector quantity?
Scalars:-- temperature; (68 degrees, no direction)-- cost; ($37.50, no direction)-- speed; (35 mph, no direction)Vectors:-- trip to the store; (2 blocks, West)-- force of gravity; (170 pounds, Down)-- velocity; (35 mph, North)
