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What is the representation of a point?

A point has no length or width or thickness. A point in geometry is represented by a dot. To name a point, we usually use a (capital) letter. A (straight) line has length but no width or thickness.

Can a point be a vector?

Vectors as Points (and points as vectors) We can add a vector to a point to get another point. This gives us a way to describe points. And then we can describe other points by the vectors that take you from this origin. So, a point is just a vector with a known origin.

Is a single point a vector space?

To summarize, a location is where (or when) you are, and a displacement is how to get from one location to another. Displacements have both magnitude (how far to go) and a direction (which in time, a one-dimensional space, is simply positive or negative). In space, locations are points and displacements are vectors.

What’s the vector equation of a line?

You are probably very familiar with using y = mx + b, the slope-intercept form, as the equation of a line.

What units are associated with the unit vectors i j and k?

If it’s the displacement vector then the i,j,k will have units of length i.e. meters (m). If it’s the force vector then the i,j,k will have units of force i.e. newtons (N). But if you are talking about vectors in math, then they are unitless.

Can a vector have direction angles 30 45 60?

Can a directed line have direction angles 45°, 60°, 120°? ∴ a line can have the given angles as direction angles.

Can a vector have direction angles?

So the angles can be the direction angles of a vector.

Can a line have 60 45 45 angles?

∴ a line can have the given angles as direction angles. Find the direction-cosines of a line which makes equal angles with the axes.

Which of the following is false 30 45 60 can be the direction angles of a line in space?

Answer. Let a,b,c be the lines of direction of cos . Now we have the angles as 30, 45 and 60. So a line cannot have 30, 45 and 60 angles of direction.

Which of the following can be the direction angles of a vector?

Figure 1 shows a unit vector u that makes an angle θ with the positive x-axis. The angle θ is called the directional angle of vector u. Any vector that makes an angle θ with the positive x-axis can be written as the unit vector times the magnitude of the vector.

What happens when a vector is multiplied by a number?

When a vector is multiplied by a scalar quantity, then the magnitude of the vector changes in accordance with the magnitude of the scalar but the direction of the vector remains unchanged….Multiplication of vectors with scalar:

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