Define unit vectors along the x-axis and the y-axis as
respectively.
Then the vector from P to Q is
In component form, the vector PQ is (-8,5).
The magnitude of vector PQ is
√[(-8)² + 5²] = √(89) = 9.434
Answer:
The vector PQ is (-8, 5) and its magnitude is √89 (or 9.434).
9514 1404 393
Answer:
(a) 15/17
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the cosine relation:
Cos = Adjacent/Hypotenuse
cos(P) = PQ/PR
cos(P) = 15/17
To start off, you want to make the equations. first, we will make x = chocolate candy and y=caramel candy since thats the order they come in the problem. we know she bought 20 pieces of candy, so we now know our first equation, x+y=20. next, if each chocolate candy costs $.50, that now makes x in our second equation .5x. the y will then be .1y. they then total up to equal $6.80, so our second equation is .5x+.1y=6.8. to then find x, subtract the y from the first equation to get x=20-y. then in the second equation, replace x with y and solve. you then get y=8, so we know britney has 8 caramels. now in the first equation, replace the y to get x+8=20. and now x=12
Answer:
1/5
Step-by-step explanation:
forward 5 units and up 1
