The slope-intercept form<span> is simply the way of writing the equation of a line so that the </span>slope<span> </span><span>Often, this </span>form<span> is called y = mx + b
</span>form<span>.</span>
Take the vector u = <ux, uy> = <4, 3>.
Find the magnitude of u:
||u|| = sqrt[ (ux)^2 + (uy)^2]
||u|| = sqrt[ 4^2 + 3^2 ]
||u|| = sqrt[ 16 + 9 ]
||u|| = sqrt[ 25 ]
||u|| = 5
To find the unit vector in the direction of u, and also with the same sign, just divide each coordinate of u by ||u||. So the vector you are looking for is
u/||u||
u * (1/||u||)
= <4, 3> * (1/5)
= <4/5, 3/5>
and there it is.
Writing it in component form:
= (4/5) * i + (3/5) * j
I hope this helps. =)
Answer:
Step-by-step explanation:
1) :)
2) :(
3) :(
4) :(
5) :)
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Answer:
The correct answer is option a
Sin A = 2√13/13
Cos A = 3√13/13
Tan A = 2/3
Step-by-step explanation:
From the figure we can see that,a right angled triangle.
ΔABC
<u>To find side AB
</u>
AB = √(AC)² + (BC)² =√(36² - 24² )= √1872
AC = 12√13
<u> To find the trigonometric ratio
</u>
Sin A = BC/AB = 24/12√13 = 2√13/13
Cos A = AC/AB = 36/ 12√13 = 3√13/13
Tan A = BC/AC = 24/36 = 2/3