# Working with Scalar and Vector quantities

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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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#2

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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#3

(Original post by

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?

**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?

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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(Original post by

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.

**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.

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#5

(Original post by

… Why are you unable to divide vectors? …

**hi_imcatherine**)… 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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