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:
24
Step-by-step explanation:
Let the number be x.
Sum of the number and 6: 
Divide it by 3: 
Result is 4 more than one quarter of the number:
Multiply both sides by 12:
Simplify:
Expand:
Subtract 24 from both sides:
Subtract 3x from both sides:
The number is 24.
Answer:
20
Step-by-step explanation:
Riyas score = ( correct answer × mark) + ( incorrect answer × mark lost )
= ( 3× 10) + ( -1 ×10 )
= 30 -10
=20
Step-by-step explanation:
I don't know if this helps but there is an app call symbols which is free which maybe it can help you to grapgh.
