Math, asked by Delex6281, 10 months ago

Why sum of magnitudes of components not equal to the vecror?

Answers

Answered by bookwormz
0

Basically, magnitudes only have values and are free from any certain direction. On the other hand the vectors are the units having both values and a fixed direction.

And thus the magnitude of component is not equal to vector.

For eg.

R(v) = a(v) + b(v)

Now let the angle between the vector be 90°

Now, magnitude...

R^2 = a^2 + b^2

And thus their value are different

Answered by SunnyG07
0

Answer:

Vector components break a single vector into two (or more)

scalars. To add two vectors, add the components.

direction are equal.

Math and science were invented by humans to describe and understand the world around us. We observe that there are some quantities and processes in our world that depend on the direction in which they occur, and there are some quantities that do not depend on direction. Mathematicians and scientists call a quantity which depends on direction a vector quantity. A quantity which does not depend on direction is called a scalar quantity. A vector quantity has two characteristics, a magnitude and a direction. When comparing two vector quantities of the same type, you have to compare both the magnitude and the direction.

On this slide we describe the method for adding two vectors. Vector addition is one aspect of a larger vector algebra which we are not going to present at this web site. Vector addition is presented here because it occurs quite often in the study of propulsion and because it demonstrates some fundamental differences between vectors and scalars.

Vectors are usually denoted on figures by an arrow. The length of the arrow indicates the magnitude and the tip of the arrow indicates the direction. The vector is labeled with an alphabetical letter with a line over the top to distinguish it from a scalar. We will denote the magnitude of the vector by the symbol |a|. The direction will be measured by an angle phi relative to a coordinate axis x. The coordinate axis y is perpendicular to x. Note: The coordinate axes x and y are themselves vectors! They have a magnitude and a direction. You first encounter coordinates axes when you learn to graph. So, you have been using vectors for some time without even knowing it!

If we construct a dashed line from the tip of the vector a running parallel to the x-axis, it cuts the y-axis at a location we label ay. Similarly, a line from the tip of the vector parallel to the y-axis cuts the x-axis at ax. The quanities ax and ay are called the components of the vector and both are scalar quantites.

Step-by-step explanation:

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