The distance formula, , is the key element in the proof of which of the following?
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The given function is,
.
Or,
To find the inverse of a function, first step is to switch x and y. Therefore,
Next stpe is to solve the above equation for y t get the inverse f f(x). Hence, multiply each sides by y + 5 to get rid of fraction form. So,
xy + 5x = 2y - 1
xy = 2y - 1 - 5x Subtract 5x from each sides to isolate y.
xy - 2y = -5x - 1 Subtract 2y from each sides.
y(x - 2) = -5x -1 Take out the common factor y.
Divide each sides by x-2.
So,
Now when we will compare with
then we will get a = -5, b = -1, c = 1 and d=-2
So,
Hope this helps you!
The cross product of two vectors gives a third vector 
that is orthogonal to the first two.
Normalize this vector by dividing it by its norm:
To get another vector orthogonal to the first two, you can just change the sign and use
.
Normalize this vector by dividing it by its norm:
To get another vector orthogonal to the first two, you can just change the sign and use