Question

The unit vector of xi+yj

Answer 1

hope this help u....

Answer 2

CONCEPT:

A vector is a quantity which has both magnitude and direction. Unit vector has magnitude as 1 , so it only has direction. Which is why it is also known as directional vector. Unit vector is used to represent direction of a vector.
TO FIND :

Unit vector of xi + yj

SOLUTION:

Unit vector of any vector is  (the given vector)/(magnitude of the vector)

<A>= xi + yj

First we have to find out the magnitude of the vector,

|A|= $\sqrt{x^{2} +y^{2} }$

Unit vector = $\frac{ < A > }{|A|}$

=$\frac{xi+yj}{\sqrt{x^{2} +y^{2} } }$

=$\frac{x}{\sqrt{x^{2} +y^{2} }}$ i + $\frac{y}{\sqrt{x^{2} +y^{2} }}$j

$\frac{x}{\sqrt{x^{2} +y^{2} }}$ i + $\frac{y}{\sqrt{x^{2} +y^{2} }}$j is the unit vector of xi + yj.

To refer similar problems,

https://brainly.in/question/34287661

https://brainly.in/question/4753795

Thank you.