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Working with Scalar and Vector quantities
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hi_imcatherine
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If you multiply two scalar quantities, is the product still a scalar?
If you multiply a scalar and a vector quantity, what is the product?
If you multiply two vector quantities, what is the product?
And what happens when you divide a scalar by a scalar/scalar by a vector/vector by a scalar/ vector by a vector?
If you multiply a scalar and a vector quantity, what is the product?
If you multiply two vector quantities, what is the product?
And what happens when you divide a scalar by a scalar/scalar by a vector/vector by a scalar/ vector by a vector?
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LaurenRosie
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A) yes it's still a scalar
B and C) the product is a vector
not sure about your last question tho, sorry
B and C) the product is a vector
not sure about your last question tho, sorry
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Eimmanuel
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#3
(Original post by hi_imcatherine)
If you multiply two scalar quantities, is the product still a scalar?
If you multiply a scalar and a vector quantity, what is the product?
If you multiply two vector quantities, what is the product?
And what happens when you divide a scalar by a scalar/scalar by a vector/vector by a scalar/ vector by a vector?
If you multiply two scalar quantities, is the product still a scalar?
If you multiply a scalar and a vector quantity, what is the product?
If you multiply two vector quantities, what is the product?
And what happens when you divide a scalar by a scalar/scalar by a vector/vector by a scalar/ vector by a vector?
If you multiply two scalar quantities, is the product still a scalar?
Example: density × volume = mass
If you multiply a scalar and a vector quantity, what is the product?
Example: mass × acceleration = (net) force
If you multiply two vector quantities, what is the product?
Example: Work done = Force × Displacement in the direction parallel to the force.
This is the dot product of 2 vector quantities which gives a scalar quantity.
Example: Torque = “lever arm vector” × Force
This is the cross product of 2 vector quantities which gives a vector quantity.
https://en.wikipedia.org/wiki/Torque
There is no division operation in vector.
So there is no answer to an ill-posed question.
But it does show that you are thinking. Keep it up.
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hi_imcatherine
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(Original post by Eimmanuel)
Scalar
Example: density × volume = mass
Vector
Example: mass × acceleration = (net) force
It depends. There are 2 “multiplication” operations for vectors: dot product and cross product.
Example: Work done = Force × Displacement in the direction parallel to the force.
This is the dot product of 2 vector quantities which gives a scalar quantity.
Example: Torque = “lever arm vector” × Force
This is the cross product of 2 vector quantities which gives a vector quantity.
https://en.wikipedia.org/wiki/Torque
There is no division operation in vector.
So there is no answer to an ill-posed question.
But it does show that you are thinking. Keep it up.
Scalar
Example: density × volume = mass
Vector
Example: mass × acceleration = (net) force
It depends. There are 2 “multiplication” operations for vectors: dot product and cross product.
Example: Work done = Force × Displacement in the direction parallel to the force.
This is the dot product of 2 vector quantities which gives a scalar quantity.
Example: Torque = “lever arm vector” × Force
This is the cross product of 2 vector quantities which gives a vector quantity.
https://en.wikipedia.org/wiki/Torque
There is no division operation in vector.
So there is no answer to an ill-posed question.
But it does show that you are thinking. Keep it up.
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Eimmanuel
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(Original post by hi_imcatherine)
… Why are you unable to divide vectors? …
… Why are you unable to divide vectors? …
https://math.stackexchange.com/quest...ector-division
[QUOTE=hi_imcatherine;83056402]… Is it true then, that a scalar divided by a scalar is a scalar?
Yes.
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