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. =)
I believe it is b)
Because you always do rise over the run and if it goes right then it is positive and if it goes left it is negative.
Answer:
10x-5
Step-by-step explanation:
Because u can simplify the equation into a shorter one by simplifying the numbers in paranthesis with 5 and 5 times 2 equal 10 as 5 times 1 equal 5
Ok, first let's multiply:
3 x 1/6 = 3/6 (simplify:) 1/2
Then multiply again:
3 x 1/9 = 3/9 (simplify:) 1/3
Now the expression is simplified to (1/2x, 1/2y)
Hope this helped! Please comment or DM me if you have anymore questions or don't understand :)
Answer:
-30
Step-by-step explanation:
-20-8=-28
-28-12
=-30
