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True or false: if the magnitudes of both the x- and y-component of a vector are doubled, then the magnitude of the vector is also doubled.

Respuesta :

uzairteacher

Yes, if the magnitudes of both the x- and y-component of a vector are doubled, then the magnitude of the vector is also doubled. The given statement is true.

In physics, a quantity having both magnitude and direction is called a vector.

A vector is represented by a straight line with an arrow at one end of the line.

Let's say we have a representative vector F.

A representative vector has always its two components Fx and Fy.

A vector can have both magnitude and direction but it has no specific position. It can be drawn in any direction.

There are four vector quantities in physics: force, acceleration, velocity, and displacement.

If you need to learn more about vector click here:

https://brainly.com/question/25705666

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Neetoo

It is true that when the magnitude of vectors x and y components are doubled then the magnitude of the vector is also doubled.

For better understanding, lets take an example,

Vector A=5m, 60degrees south of west. So its X-component= 5 x cos60= -4.76

And Y-component= 5 x sin60= -1.52

Now,

doubling the magnitude of vector A will give A=10m , 60degree south of west

Hence   X-component= 10 x cos60= -9.52

Now   Y-component is 10 x sin60= -3.04

To learn more about vector, follow

https://www.quora.com/What-is-the-magnitude-of-two-vectors

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