12 - What are Vectors and Scalars?

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In this lesson, you will about the difference between Vectors and Scalars and why these quantities are important in Physics, Math, and Engineering.
A Scalar is a quantity that has only magnitude. Examples are pressure, temperature, and time. A vector is a quantity that has both magnitude and a direction. Examples include velocity, force, and magnetic field.
We will use vector and scalar quantities extensively throughout this physics course and in engineering courses.

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[@jabrown]

I have a question. You explained in this video that quantities that have magnitude and direction are called vectors, whereas quantities that only have magnitude are called scalars. But what about quantities that only have direction, like the degrees of a circle? If you travel in a 45° angle from your starting point, that is a direction, but it doesn't tell you how far you travelled. Is there a special term for those? Or are they just called "directions"?

[@MathAndScience]

That is a great question and a little tricky. I believe you'd still call it a vector quantity. The reason is that it isn't true that it "only represents directions". How do you define an angle? You have an XY plane and you draw a ray somewhere from the origin to a point P(x,y). The angle is defined between the x-axis and the ray that you defined. That RAY is a vector. You have to draw an arrow which represents length then measure an angle. Ask yourself, how do you define or measure an angle without having at least one ray on a sheet of paper. You can't. The angle number means nothing without the accompanying ray. So, basically that ray represents a vector - it has length and direction (angle). Hope this helps!

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@@MathAndScience also i don't think scalars don't have direction, they are just not described by their directions because they are multi-directed like distance, while a uni-directional quantity like displacement is vector

[@MathAndScience]

@@amjadhussain3584 I hear what you’re saying, but scaler’s really do not have any direction at all. The best example of a scale or quantity is temperature. At every point in a room there is a number, called the temperature, that expresses the value of the temperature at that point. But temperature has no direction it is just simply a number at every point in space. That is a scaler quantity.

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Today I have understood that pressure is not a vector quantity but scalar thax sir

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Rain is falling vertically with a speed of 20 ms -1.A person is running in the rain with a speed of 10 ms-2 from north to south.In Which direction should he hold his umbrella?

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How about electric current and electric potential? Are they vector quantities or scalar?

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Sir, if we use an arrow below the letter then would it be a right vector quantity? Plz reply me ❤

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Thanks for the simplest explanation of the basic terminologies. I also have a question, Suppose we have two 2D-planes of certain dimensions (ref: en.wikipedia.org/wiki/Plane_(geometry)) and if we want to check the coplanarity using the 'Normal/Perpendicular vectors' of both the planes. will the magnitude of those two vectors have any significance for doing so? if not then how can we check the coplanarity of the two planes? Thanks.

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